Bernd Ammann

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All published works

Action	Title	Year	Authors
+	Analysis, Geometry and Topology of Positive Scalar Curvature Metrics	2024	Bernd Ammann Bernhard Hanke Anna Sakovich
+ PDF Chat	Book review: “Differential Geometry in the Large” by O. Dearricott, W. Tuschmann, Y. Nikolayevsky, T. Leistner and D. Crowley (eds.)	2024	Bernd Ammann
+ PDF Chat	A regularity result for the bound states of N-body Schrödinger operators: blow-ups and Lie manifolds	2023	Bernd Ammann Jérémy Mougel Victor Nistor
+ PDF Chat	Dominant Energy Condition and Spinors on Lorentzian Manifolds	2023	Bernd Ammann Jonathan Glöckle
+	A quadratic lower bound for the number of minimal geodesics	2023	Bernd Ammann Clara Loeh
+	Analysis, Geometry and Topology of Positive Scalar Curvature Metrics	2022	Bernd Ammann Bernhard Hanke Anna Sakovich
+	Are all Dirac-harmonic maps uncoupled?	2022	Bernd Ammann
+ PDF Chat	A Comparison of the Georgescu and Vasy Spaces Associated to the N-Body Problems and Applications	2021	Bernd Ammann Jérémy Mougel Victor Nistor
+ PDF Chat	Construction of Initial Data Sets for Lorentzian Manifolds with Lightlike Parallel Spinors	2021	Bernd Ammann Klaus Kröncke Olaf Müller
+	Dominant energy condition and spinors on Lorentzian manifolds	2021	Bernd Ammann Jonathan Glöckle
+	A regularity result for the bound states of $N$-body Schrödinger operators: Blow-ups and Lie manifolds	2020	Bernd Ammann Jérémy Mougel Victor Nistor
+	A comparison of the Georgescu and Vasy spaces associated to the N-body problems	2019	Bernd Ammann Jérémy Mougel Victor Nistor
+	A comparison of the Georgescu and Vasy spaces associated to the N-body problems and applications	2019	Bernd Ammann Jérémy Mougel Victor Nistor
+	Analysis and boundary value problems on singular domains: An approach via bounded geometry	2019	Bernd Ammann Nadine Große Victor Nistor
+ PDF Chat	Well‐posedness of the Laplacian on manifolds with boundary and bounded geometry	2019	Bernd Ammann Nadine Große Victor Nistor
+	A comparison of the Georgescu and Vasy spaces associated to the N-body problems and applications	2019	Bernd Ammann Jérémy Mougel Victor Nistor
+	Analysis and boundary value problems on domains with a smooth set of singular points: an approach via bounded geometry	2018	Bernd Ammann Nadine Große Victor Nistor
+	Analysis and boundary value problems on singular domains: an approach via bounded geometry	2018	Bernd Ammann Nadine Große Victor Nistor
+ PDF Chat	Some examples of Dirac-harmonic maps	2018	Bernd Ammann Nicolas Ginoux
+	Some examples of Dirac-harmonic maps	2018	Nicolas Ginoux Bernd Ammann
+	Analysis, Geometry and Topology of Positive Scalar Curvature Metrics	2018	Bernd Ammann Bernhard Hanke André Neves
+ PDF Chat	Holonomy rigidity for Ricci-flat metrics	2018	Bernd Ammann Klaus Kröncke Hartmut Weiß Frederik Witt
+	The strong Legendre condition and the well-posedness of mixed Robin problems on manifolds with bounded geometry	2018	Bernd Ammann Nadine Große Victor Nistor
+	Analysis and boundary value problems on singular domains: an approach via bounded geometry	2018	Bernd Ammann Nadine Große Victor Nistor
+	Some examples of Dirac-harmonic maps	2018	Nicolas Ginoux Bernd Ammann
+ PDF Chat	Positive mass theorem for some asymptotically hyperbolic manifolds	2016	Bernd Ammann Nadine Große
+	Poincare inequality and well-posedness of the Poisson problem on manifolds with boundary and bounded geometry	2016	Bernd Ammann Nadine Große Victor Nistor
+	Well-posedness of the Laplacian on manifolds with boundary and bounded geometry	2016	Bernd Ammann Nadine Große Victor Nistor
+	$$L^p$$ L p -spectrum of the Dirac operator on products with hyperbolic spaces	2016	Bernd Ammann Nadine Große
+	The $\boldsymbol{S^1}$-Equivariant Yamabe Invariant of 3-Manifolds	2016	Bernd Ammann Farid Madani Mihaela Pilca
+	Well-posedness of the Laplacian on manifolds with boundary and bounded geometry	2016	Bernd Ammann Nadine Große Victor Nistor
+	Holonomy rigidity for Ricci-flat metrics	2015	Bernd Ammann Klaus Kroencke Hartmut Weiß Frederik Witt
+ PDF Chat	Relations Between Threshold Constants for Yamabe Type Bordism Invariants	2015	Bernd Ammann Nadine Große
+ PDF Chat	A spinorial energy functional: critical points and gradient flow	2015	Bernd Ammann Hartmut Weiß Frederik Witt
+ PDF Chat	The spinorial energy functional on surfaces	2015	Bernd Ammann Hartmut Weiß Frederik Witt
+	Analysis, Geometry and Topology of Positive Scalar Curvature Metrics	2015	Bernd Ammann Bernhard Hanke André Neves
+	Positive mass theorem for some asymptotically hyperbolic manifolds	2015	Bernd Ammann Nadine Große
+	Relations between threshold constants for Yamabe type bordism invariants	2015	Bernd Ammann Nadine Große
+	S^1-equivariant Yamabe invariant of 3-manifolds	2015	Bernd Ammann Farid Madani Mihaela Pilca
+	Low-dimensional surgery and the Yamabe invariant	2015	Bernd Ammann Mattias Dahl Emmanuel Humbert
+	Low-dimensional surgery and the Yamabe invariant	2015	Bernd Ammann Mattias Dahl Emmanuel Humbert
+	Holonomy rigidity for Ricci-flat metrics	2015	Bernd Ammann Klaus Kroencke Hartmut Weiß Frederik Witt
+	Relations between threshold constants for Yamabe type bordism invariants	2015	Bernd Ammann Nadine Große
+	Positive mass theorem for some asymptotically hyperbolic manifolds	2015	Bernd Ammann Nadine Große
+	$L^p$-spectrum of the Dirac operator on products with hyperbolic spaces	2014	Bernd Ammann Nadine Große
+ PDF Chat	Smooth Yamabe invariant and surgery	2013	Bernd Ammann Mattias Dahl Emmanuel Humbert
+ PDF Chat	The Cauchy Problems for Einstein Metrics and Parallel Spinors	2013	Bernd Ammann Andrei Moroianu Sergiu Moroianu
+ PDF Chat	Square-integrability of solutions of the Yamabe equation	2013	Bernd Ammann Mattias Dahl Emmanuel Humbert
+ PDF Chat	Dirac-harmonic maps from index theory	2012	Bernd Ammann Nicolas Ginoux
+ PDF Chat	The conformal Yamabe constant of product manifolds	2012	Bernd Ammann Mattias Dahl Emmanuel Humbert
+ PDF Chat	The supremum of first eigenvalues of conformally covariant operators in a conformal class	2011	Bernd Ammann Pierre Jammes
+ PDF Chat	Variational Problems in Differential Geometry: The supremum of first eigenvalues of conformally covariant operators in a conformal class	2011	Bernd Ammann Pierre Jammes
+	The Cauchy problem for metrics with parallel spinors	2011	Bernd Ammann Andrei Moroianu Sergiu Moroianu
+ PDF Chat	Harmonic Spinors and Local Deformations of the Metric	2011	Bernd Ammann Mattias Dahl Emmanuel Humbert
+ PDF Chat	Surgery and the Spinorial τ-Invariant	2009	Bernd Ammann Mattias Dahl Emmanuel Humbert
+ PDF Chat	The smallest Dirac eigenvalue in a spin-conformal class and cmc immersions	2009	Bernd Ammann
+ PDF Chat	Surgery and the spinorial tau-invariant	2008	Bernd Ammann Mattias Dahl Emmanuel Humbert
+ PDF Chat	Surgery and harmonic spinors	2008	Bernd Ammann Mattias Dahl Emmanuel Humbert
+	Smooth Yamabe invariant and surgery	2008	Bernd Ammann Mattias Dahl Emmanuel Humbert
+ PDF Chat	The spinorial τ-invariant and 0-dimensional surgery	2008	Bernd Ammann E. Humbert
+	Smooth Yamabe invariant and surgery	2008	Bernd Ammann Mattias Dahl Emmanuel Humbert
+ PDF Chat	A spinorial analogue of Aubin’s inequality	2007	Bernd Ammann J.-F. Grosjean E. Humbert Bertrand Morel
+	The supremum of conformally covariant eigenvalues in a conformal class	2007	Bernd Ammann Pierre Jammes
+ PDF Chat	Pseudodifferential operators on manifolds with a Lie structure at infinity	2007	Bernd Ammann Robert Lauter Victor Nistor
+ PDF Chat	Weighted Sobolev spaces and regularity for polyhedral domains	2007	Bernd Ammann Victor Nistor
+ PDF Chat	A Pohozaev type identity for Dirac operators	2007	Bernd Ammann Emmanuel Humbert Mohameden Ould Ahmedou
+	Un problème de type Yamabe sur les variétés compactes spinorielles compactes	2007	Bernd Ammann Emmanuel Humbert Bertrand Morel
+ PDF Chat	A Pohozaev type identity for Dirac operators	2007	Bernd Ammann Emmanuel Humbert Mohameden Ould Ahmedou
+	Manifolds with small Dirac eigenvalues are nilmanifolds	2006	Bernd Ammann C. Sprouse
+ PDF Chat	THE FIRST EIGENVALUE OF THE DIRAC OPERATOR IN A CONFORMAL CLASS	2006	Bernd Ammann Emmanuel Humbert
+	An obstruction for the mean curvature of a conformal immersion 𝑆ⁿ→ℝⁿ⁺¹	2006	Bernd Ammann Emmanuel Humbert Mohameden Ould Ahmedou
+ PDF Chat	The spinorial $\tau$-invariant and 0-dimensional surgery	2006	Bernd Ammann Emmanuel Humbert
+ PDF Chat	Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds	2006	Bernd Ammann Emmanuel Humbert Bertrand Morel
+ PDF Chat	Sobolev spaces on Lie manifolds and regularity for polyhedral domains	2006	Bernd Ammann Alexandru D. Ionescu Victor Nistor
+	The second Yamabe invariant	2005	Bernd Ammann E. Humbert
+	An obstruction for the mean curvature of a conformal immersion S^{n}-> R^{n+1}	2005	Bernd Ammann Emmanuel Humbert Mohameden Ould Ahmedou
+	The first conformal Dirac eigenvalue on 2-dimensional tori	2005	Bernd Ammann Emmanuel Humbert
+ PDF Chat	Positive mass theorem for the Yamabe problem on spin manifolds	2005	Bernd Ammann E. Humbert
+	The second Yamabe invariant	2005	Bernd Ammann Emmanuel Humbert
+ PDF Chat	Ambient Dirac eigenvalue estimates and the Willmore functional	2005	Bernd Ammann
+	The second Yamabe invariant	2005	Bernd Ammann Emmanuel Humbert
+	Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds	2005	Bernd Ammann Emmanuel Humbert Bertrand Morel
+	An obstruction for the mean curvature of a conformal immersion S^{n}-> R^{n+1}	2005	Bernd Ammann Emmanuel Humbert Mohameden Ould Ahmedou
+	Dirac eigenvalue estimates on two-tori*1	2004	Bernd Ammann
+ PDF Chat	Un problème de type Yamabe sur les variétés spinorielles compactes	2004	Bernd Ammann Emmanuel Humbert Bertrand Morel
+	Dirac eigenvalue estimates on two-tori	2004	Bernd Ammann
+	Sobolev spaces and regularity for polyhedral domains	2004	Bernd Ammann Alexandru D. Ionescu Victor Nistor
+ PDF Chat	On the geometry of Riemannian manifolds with a Lie structure at infinity	2004	Bernd Ammann Robert Lauter Victor Nistor
+	Sobolev spaces on Lie manifolds and regularity for polyhedral domains	2004	Bernd Ammann Alexandru D. Ionescu Victor Nistor
+	On a nonlinear Dirac equation of Yamabe type	2003	Bernd Ammann Emmanuel Humbert Bertrand Morel
+	Positive mass theorem for the Yamabe problem on spin manifolds	2003	Bernd Ammann Emmanuel Humbert
+	A spinorial analogue of Aubin's inequality	2003	Bernd Ammann Jean-François Grosjean Emmanuel Humbert Bertrand Morel
+	The smallest Dirac eigenvalue in a spin-conformal class and cmc-immersions	2003	Bernd Ammann
+	Pseudodifferential operators on manifolds with a Lie structure at infinity	2003	Bernd Ammann Robert Lauter Victor Nistor
+	A spin-conformal lower bound of the first positive Dirac eigenvalue	2002	Bernd Ammann
+ PDF Chat	Dirac eigenvalue estimates on surfaces	2002	Bernd Ammann Christian Bär
+	Dirac eigenvalue estimates on surfaces	2002	Bernd Ammann Christian Baer
+	Spectral estimates on 2-tori	2001	Bernd Ammann
+ PDF Chat	Dirac eigenvalues and total scalar curvature	2000	Bernd Ammann Christian Bär
+ PDF Chat	The Willmore conjecture for immersed tori with small curvature integral	2000	Bernd Ammann
+	A comparison of the eigenvalues of the Dirac and Laplace operators on a two-dimensional torus	1999	Ilka Agricola Bernd Ammann Thomas Friedrich
+	The Willmore Conjecture for immersed tori with small curvature integral	1999	Bernd Ammann
+ PDF Chat	The Dirac operator on collapsing <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>S</mml:mi> <mml:mn>1</mml:mn> </mml:msup></mml:math>-bundles	1998	Bernd Ammann
+	The Dirac Operator on Nilmanifolds and Collapsing Circle Bundles	1998	Bernd Ammann Christian Baer
+	The Dirac operator on collapsing S^1-bundles	1998	Bernd Ammann
+	A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus	1998	Ilka Agricola Bernd Ammann Thomas Friedrich
+	None	1998	Bernd Ammann Christian Bär
+	None	1997	Bernd Ammann
+	Minimal Geodesics and Nilpotent Fundamental Groups	1996	Bernd Ammann

Common Coauthors

Coauthor	Papers Together
Emmanuel Humbert	28
Victor Nistor	20
Nadine Große	17
Mattias Dahl	7
Bertrand Morel	7
Jérémy Mougel	6
Hartmut Weiß	5
Frederik Witt	5
Mohameden Ould Ahmedou	5
Nicolas Ginoux	4
Mattias Dahl	4
Bernhard Hanke	4
E. Humbert	4
Robert Lauter	3
Christian Bär	3
Alexandru D. Ionescu	3
Pierre Jammes	3
Sergiu Moroianu	2
Anna Sakovich	2
André Neves	2
Farid Madani	2
Thomas Friedrich	2
Jonathan Glöckle	2
Andrei Moroianu	2
Ilka Agricola	2
Mihaela Pilca	2
Klaus Kröncke	2
Christian Baer	2
Klaus Kroencke	2
J.-F. Grosjean	1
Victor Nistor	1
Jean-François Grosjean	1
Victor Nistor	1
Clara Loeh	1
Olaf Müller	1
C. Sprouse	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A conformal lower bound for the smallest eigenvalue of the Dirac operator and killing spinors	1986	Oussama Hijazi	26
+ PDF Chat	Conformal deformation of a Riemannian metric to constant scalar curvature	1984	Richard Schoen	21
+ PDF Chat	The Yamabe problem	1987	John M. Lee Thomas H. Parker	21
+	Dirac Operators in Riemannian Geometry	2000	Thomas Friedrich	19
+ PDF Chat	Spineurs, opérateurs de dirac et variations de métriques	1992	Jean-Pierre Bourguignon Paul Gauduchon	18
+	Lower eigenvalue estimates for Dirac operators	1992	Christian Bär	15
+	EQUATIONS DIFFERENTIELLES NON LINEAIRES ET PROBLEME DE YAMABE CONCERNANT LA COURBURE SCALAIRE.	1976	Thierry Aubin	14
+	Harmonic Spinors	1974	Nigel Hitchin	14
+	Remarks concerning the conformal deformation of riemannian structures on compact manifolds	1968	Neil S. Trudinger	14
+	A spin-conformal lower bound of the first positive Dirac eigenvalue	2002	Bernd Ammann	12
+ PDF Chat	On the geometry of Riemannian manifolds with a Lie structure at infinity	2004	Bernd Ammann Robert Lauter Victor Nistor	12
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	12
+	Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung	1980	Th. Friedrich	11
+	Metrics with harmonic spinors	1996	Christian Bär	11
+ PDF Chat	The smallest Dirac eigenvalue in a spin-conformal class and cmc immersions	2009	Bernd Ammann	11
+	None	1998	Christian Bär	11
+	SPECTRAL PROPERTIES OF THE DIRAC OPERATOR AND GEOMETRICAL STRUCTURES	2001	Oussama Hijazi	11
+ PDF Chat	A spinorial analogue of Aubin’s inequality	2007	Bernd Ammann J.-F. Grosjean E. Humbert Bertrand Morel	10
+ PDF Chat	Smooth Yamabe invariant and surgery	2013	Bernd Ammann Mattias Dahl Emmanuel Humbert	10
+	Scalar curvature of a metric with unit volume	1987	Osamu Kobayashi	10
+ PDF Chat	Variational theory for the total scalar curvature functional for riemannian metrics and related topics	1989	Richard Schoen	10
+ PDF Chat	Zur Abhängigkeit des Dirac-operators von der Spin-Struktur	1984	Th. Friedrich	10
+	Boundary problems for elliptic equations in domains with conical or angular points	1967	В А Кондратьев	9
+ PDF Chat	Surgery and harmonic spinors	2008	Bernd Ammann Mattias Dahl Emmanuel Humbert	9
+ PDF Chat	Generalized cylinders in semi-Riemannian and spin geometry	2005	Christian B�r Paul Gauduchon Andrei Moroianu	9
+	The Spinor Representation of Surfaces in Space	1996	Robert Kusner Nick Schmitt	9
+	The smallest Dirac eigenvalue in a spin-conformal class and cmc-immersions	2003	Bernd Ammann	9
+ PDF Chat	On the proof of the positive mass conjecture in general relativity	1979	Richard Schoen Shing-Tung Yau	9
+ PDF Chat	Classification of prime 3-manifold with Yamabe invariant greater than ℝℙ<sup>3</sup>	2004	Hubert L. Bray André Neves	8
+	Spin-Strukturen und Dirac-Operatoren über pseudoriemannschen Mannigfaltigkeiten	1981	Helga Baum	8
+ PDF Chat	On the spinor representation of surfaces in Euclidean 3-space	1998	Thomas Friedrich	8
+ PDF Chat	Sobolev spaces on Lie manifolds and regularity for polyhedral domains	2006	Bernd Ammann Alexandru D. Ionescu Victor Nistor	8
+	A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces	1982	Peter Li Shing‐Tung Yau	7
+	Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions	1988	Monique Dauge	7
+ PDF Chat	Pseudodifferential operators on manifolds with a Lie structure at infinity	2007	Bernd Ammann Robert Lauter Victor Nistor	7
+ PDF Chat	Propagation of singularities in many-body scattering	2001	András Vasy	7
+	Generic Metrics and Connections on Spin- and Spin c -Manifolds	1997	Stephan E. Maier	7
+ PDF Chat	Simply Connected Manifolds of Positive Scalar Curvature	1992	Stephan Stolz	7
+ PDF Chat	Sobolev Spaces on Riemannian Manifolds	1996	Emmanuel Hebey	7
+ PDF Chat	Surgery and the Spinorial τ-Invariant	2009	Bernd Ammann Mattias Dahl Emmanuel Humbert	6
+	On a deformation of Riemannian structures on compact manifolds	1960	Hidehiko Yamabe	6
+	$$L^p$$ L p -spectrum of the Dirac operator on products with hyperbolic spaces	2016	Bernd Ammann Nadine Große	6
+ PDF Chat	The Dirac operator on space forms of positive curvature	1996	Christian Bär	6
+ PDF Chat	Yamabe metrics on cylindrical manifolds	2003	Kazuo Akutagawa Boris Botvinnik	6
+	Conformally flat manifolds, Kleinian groups and scalar curvature	1988	Richard Schoen Shing‐Tung Yau	6
+ PDF Chat	Square-integrability of solutions of the Yamabe equation	2013	Bernd Ammann Mattias Dahl Emmanuel Humbert	6
+	The Dirac spectrum of Bieberbach manifolds	2000	Frank Pfäffle	6
+ PDF Chat	The Yamabe invariant of simply connected manifolds	2000	Jimmy Petean	6
+	Non-Homogeneous Boundary Value Problems and Applications	1973	J. L. Lions Enrico Magenes	6
+ PDF Chat	Surgery and the spectrum of the Dirac operator	2002	Christian Bär Mattias Dahl	6