Gerhard Knieper

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All published works

Action	Title	Year	Authors
+ PDF Chat	Surfaces of section for geodesic flows of closed surfaces	2024	Gonzalo Contreras Gerhard Knieper Marco Mazzucchelli BENJAMIN H. SCHULZ
+ PDF Chat	A quantitative closing Lemma and Partner orbits on Riemannian manifolds with negative curvature	2024	Michela Egidi Gerhard Knieper
+ PDF Chat	Geodesic Anosov flows, hyperbolic closed geodesics and stable ergodicity	2023	Gerhard Knieper BENJAMIN H. SCHULZ
+	Geodesic Anosov flows, hyperbolic closed geodesics and stable ergodicity	2022	Gerhard Knieper Benjamin H. Schulz
+	Surfaces of section for geodesic flows of closed surfaces	2022	Gonzalo Contreras Gerhard Knieper Marco Mazzucchelli Benjamin H. Schulz
+ PDF Chat	Closed geodesics on surfaces without conjugate points	2021	Vaughn Climenhaga Gerhard Knieper Khadim War
+ PDF Chat	Geodesic stretch, pressure metric and marked length spectrum rigidity	2021	Colin Guillarmou Gerhard Knieper Thibault Lefeuvre
+	Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points	2020	Vaughn Climenhaga Gerhard Knieper Khadim War
+	Closed geodesics on surfaces without conjugate points	2020	Vaughn Climenhaga Gerhard Knieper Khadim War
+	Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces	2020	Gerhard Knieper John R. Parker Norbert Peyerimhoff
+	Closed geodesics on surfaces without conjugate points	2020	Vaughn Climenhaga Gerhard Knieper Khadim War
+ PDF Chat	The Fourier Transform on Harmonic Manifolds of Purely Exponential Volume Growth	2019	Kingshook Biswas Gerhard Knieper Norbert Peyerimhoff
+	The Fourier transform on harmonic manifolds of purely exponential volume growth	2019	Kingshook Biswas Gerhard Knieper Norbert Peyerimhoff
+	Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces	2019	Gerhard Knieper John R. Parker Norbert Peyerimhoff
+	Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points	2019	Vaughn Climenhaga Gerhard Knieper Khadim War
+	The Fourier transform on harmonic manifolds of purely exponential volume growth	2019	Kingshook Biswas Gerhard Knieper Norbert Peyerimhoff
+	Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces	2019	Gerhard Knieper John R. Parker Norbert Peyerimhoff
+	Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points	2019	Vaughn Climenhaga Gerhard Knieper Khadim War
+	A note on Anosov flows of non-compact Riemannian manifolds	2018	Gerhard Knieper
+	A Note on Anosov flows of non-compact Riemannian manifolds	2017	Gerhard Knieper
+	A Note on Anosov flows of non-compact Riemannian manifolds	2017	Gerhard Knieper
+	Geometry, Topology, and Dynamics in Negative Curvature	2016	C. S. Aravinda Jayadev S. Athreya Igor Belegradek Marc Bourdon David Constantine Gerhard Knieper Peter A. Linnell Mahan Mj Hee Oh Jouni Parkkonen
+	A survey on noncompact harmonic and asymptotically harmonic manifolds	2016	Gerhard Knieper
+	Geometric properties of rank one asymptotically harmonic manifolds	2015	Gerhard Knieper Norbert Peyerimhoff
+ PDF Chat	Harmonic Functions on Rank One Asymptotically Harmonic Manifolds	2015	Gerhard Knieper Norbert Peyerimhoff
+	Luis Barreira and Yakov Pesin: “Introduction to Smooth Ergodic Theory”	2014	Gerhard Knieper
+	Harmonic functions on rank one asymptotically harmonic manifolds	2014	Gerhard Knieper Norbert Peyerimhoff
+ PDF Chat	Topological entropy of minimal geodesics and volume growth on surfaces	2014	Eva Glasmachers Gerhard Knieper Carlos Ogouyandjou Jan Philipp Schröder
+	Harmonic functions on rank one asymptotically harmonic manifolds	2014	Gerhard Knieper Norbert Peyerimhoff
+	Topological entropy of minimal geodesics and volume growth on surfaces	2013	Gerhard Knieper Carlos Ogouyandjou Jan Philipp Schröder
+	Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry	2013	Gerhard Knieper Leonid Polterovich Leonid Potyagailo
+	Noncompact harmonic manifolds	2013	Gerhard Knieper Norbert Peyerimhoff
+	Noncompact asymptotically harmonic manifolds	2013	Gerhard Knieper Norbert Peyerimhoff
+	Noncompact harmonic manifolds	2013	Gerhard Knieper Norbert Peyerimhoff
+	Topological entropy of minimal geodesics and volume growth on surfaces	2013	Gerhard Knieper Carlos Ogouyandjou Jan Philipp Schröder
+ PDF Chat	New results on noncompact harmonic manifolds	2012	Gerhard Knieper
+ PDF Chat	MINIMAL GEODESIC FOLIATION ON T<sup>2</sup> IN CASE OF VANISHING TOPOLOGICAL ENTROPY	2011	Eva Glasmachers Gerhard Knieper
+	Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry	2011	Gerhard Knieper Leonid Polterovich Leonid Potyagailo
+	Minimal geodesic foliation on T^2 in case of vanishing topological entropy	2011	Eva Glasmachers Gerhard Knieper
+	Minimal geodesic foliation on T^2 in case of vanishing topological entropy	2011	Eva Glasmachers Gerhard Knieper
+ PDF Chat	Characterization of Geodesic Flows on T 2 with and without Positive Topological Entropy	2010	Eva Glasmachers Gerhard Knieper
+	Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry	2009	Gerhard Knieper Leonid Polterovich Leonid Potyagailo
+	New results on noncompact harmonic manifolds	2009	Gerhard Knieper
+	Near action-degenerate periodic-orbit bunches: A skeleton of chaos	2009	Alexander Altland P. A. Braun Fritz Haake Stefan Heusler Gerhard Knieper Sebastian Müller
+ PDF Chat	NEAR ACTION-DEGENERATE PERIODIC-ORBIT BUNCHES: A SKELETON OF CHAOS	2008	Alexander Altland Peter Braun Fritz Haake Stefan Heusler Gerhard Knieper Stefan Müller
+	Ergodic properties of isoperimetric domains in spheres	2008	Gerhard Knieper Norbert Peyerimhoff
+	Characterization of geodesic flows on T^2 with and without positive topological entropy	2007	Eva Glasmachers Gerhard Knieper
+	Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry	2007	Gerhard Knieper Leonid Polterovich Leonid Potyagailo
+	Characterization of geodesic flows on T^2 with and without positive topological entropy	2007	Eva Glasmachers Gerhard Knieper
+ PDF Chat	Asymptotically harmonic spaces in dimension 3	2006	Jens Heber Gerhard Knieper Hemangi Shah
+	Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry	2006	Gerhard Knieper Leonid Polterovich Leonid Potyagailo
+	The uniqueness of the maximal measure for geodesic flows on symmetric spaces of higher rank	2005	Gerhard Knieper
+	AN UPPER BOUND FOR THE GROWTH OF CONJUGACY CLASSES IN TORSION-FREE WORD HYPERBOLIC GROUPS	2004	Michel Coornaert Gerhard Knieper
+ PDF Chat	C∞ Genericity of Positive Topological Entropy for Geodesic Flows on S2	2002	Gerhard Knieper Howard M. Weiss
+	Growth of conjugacy classes in Gromov hyperbolic groups	2002	Michel Coornaert Gerhard Knieper
+	Chapter 6 Hyperbolic dynamics and riemannian geometry	2002	Gerhard Knieper
+ PDF Chat	Closed geodesics and the uniqueness of the maximal measure for rank 1 geodesic flows	2001	Gerhard Knieper
+	The Uniqueness of the Measure of Maximal Entropy for Geodesic Flows on Rank 1 Manifolds	1998	Gerhard Knieper
+	A second derivative formula of the Liouville entropy at spaces of constant negative curvature	1997	Gerhard Knieper
+	On the Asymptotic Geometry of Nonpositively Curved Manifolds	1997	Gerhard Knieper
+ PDF Chat	Volume growth, entropy and the geodesic stretch	1995	Gerhard Knieper
+	Spherical means on compact Riemannian manifolds of negative curvature	1994	Gerhard Knieper
+ PDF Chat	A surface with positive curvature and positive topological entropy	1994	Gerhard Knieper Howard M. Weiss
+ PDF Chat	Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows	1991	Anatole Katok Gerhard Knieper Howard M. Weiss
+ PDF Chat	Rigidity of surfaces with no conjugate points	1991	Keith Burns Gerhard Knieper
+ PDF Chat	Differentiability of entropy for Anosov and geodesic flows	1990	A. Katok Gerhard Knieper Mark Pollicott Howard M. Weiss
+	Differentiability and analyticity of topological entropy for Anosov and geodesic flows	1989	A. Katok Gerhard Knieper Mark Pollicott Howard M. Weiss
+	Regularity of measure theoretic entropy for geodesic flows of negative curvature: I	1989	Gerhard Knieper Howard M. Weiss
+	Das Wachstum der �quivalenzklassen geschlossener Geod�tischer in kompakten Mannigfaltigkeiten	1983	Gerhard Knieper

Common Coauthors

Coauthor	Papers Together
Norbert Peyerimhoff	14
Eva Glasmachers	7
Khadim War	6
Vaughn Climenhaga	6
Howard M. Weiss	6
Leonid Potyagailo	5
Leonid Polterovich	5
John R. Parker	3
Jan Philipp Schröder	3
Carlos Ogouyandjou	3
Kingshook Biswas	3
Stefan Heusler	2
Gonzalo Contreras	2
A. Katok	2
Benjamin H. Schulz	2
Fritz Haake	2
Alexander Altland	2
BENJAMIN H. SCHULZ	2
Michel Coornaert	2
Marco Mazzucchelli	2
Mark Pollicott	2
Hee Oh	1
Igor Belegradek	1
Peter A. Linnell	1
Peter Braun	1
Jens Heber	1
Jayadev S. Athreya	1
Stefan Müller	1
C. S. Aravinda	1
Hemangi Shah	1
Jouni Parkkonen	1
Keith Burns	1
Thibault Lefeuvre	1
Sebastian Müller	1
Colin Guillarmou	1
Marc Bourdon	1
Anne Thomas	1
Michela Egidi	1
P. A. Braun	1
David Constantine	1
Mahan Mj	1
Anatole Katok	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Topological Entropy for Geodesic Flows	1979	Anthony Manning	15
+	Chapter 6 Hyperbolic dynamics and riemannian geometry	2002	Gerhard Knieper	13
+	Introduction to the modern theory of dynamical systems	1996	Anatole Katok Boris Hasselblatt	13
+	Structure of manifolds of nonpositive curvature	1985	Patrick Eberlein	12
+	On the Asymptotic Geometry of Nonpositively Curved Manifolds	1997	Gerhard Knieper	11
+	An Introduction to Ergodic Theory	1982	Peter Walters	11
+	On the entropy of the geodesic flow in manifolds without conjugate points	1982	André Pimenta Freire Ricardo Ma��	10
+	Applications of ergodic theory to the investigation of manifolds of negative curvature	1970	G. A. Margulis	10
+ PDF Chat	New results on noncompact harmonic manifolds	2012	Gerhard Knieper	10
+	An Introduction to Ergodic Theory	1981	Peter Walters	10
+ PDF Chat	On harmonic and asymptotically harmonic homogeneous spaces	2006	Joerg Heber	10
+ PDF Chat	A fundamental class of geodesics on any closed surface of genus greater than one	1924	Harold Marston Morse	9
+	Entropies et rigidités des espaces localement symétriques de courbure strictement négative	1995	Gérard Besson G. Courtois Sylvestre Gallot	9
+	Periodic Orbits for Hyperbolic Flows	1972	Rufus Bowen	9
+ PDF Chat	The Lichnerowicz conjecture on harmonic manifolds	1990	Zoltán Szabó	9
+ PDF Chat	Lyapunov exponents, entropy and periodic orbits for diffeomorphisms	1980	A. Katok	9
+	Harmonic manifolds with minimal horospheres	2002	Akhil Ranjan Hemangi Shah	7
+	Handbook of Dynamical Systems	2010	Hendrik Broer Floris Takens Boris Hasselblatt	7
+ PDF Chat	Two theorems on harmonic manifolds	2005	Yuri Nikolayevsky	7
+ PDF Chat	Manifolds with non-positive curvature	1985	Keith Burns A. Katok W. Ballman Michael Brin Patrick Eberlein Robert Osserman	7
+ PDF Chat	Entropy and closed geodesies	1982	A. Katok	7
+	Introduction to the Modern Theory of Dynamical Systems	1995	Anatole Katok Boris Hasselblatt	6
+ PDF Chat	A class of nonsymmetric harmonic Riemannian spaces	1992	Ewa Damek Fulvio Ricci	6
+ PDF Chat	Mesures de Patterson-Sullivan sur le bord d’un espace hyperbolique au sens de Gromov	1993	Michel Coornaert	6
+	Characterization of Riemannian metrics on \(T^{2}\) with and without positive topological entropy	2008	Eva Glasmachers	6
+	Manifolds all of whose Geodesics are Closed	1978	Arthur L. Besse	6
+ PDF Chat	The limit set of a Fuchsian group	1976	S. J. Patterson	6
+	Metric Spaces of Non-Positive Curvature	1999	Martin R. Bridson André Haefliger	5
+	The Uniqueness of the Measure of Maximal Entropy for Geodesic Flows on Rank 1 Manifolds	1998	Gerhard Knieper	5
+ PDF Chat	Manifolds of nonpositive curvature and their buildings	1987	Keith Burns Ralf Spatzier	5
+	Structure of Manifolds of Nonpositive Curvature. I	1985	Werner Ballmann Misha Brin Patrick Eberlein	5
+	Certain measures associated with U-flows on compact manifolds	1970	G. A. Margulis	5
+ PDF Chat	On surfaces with no conjugate points	1987	Werner Ballmann Michael Brin Keith Burns	5
+	Invariant measures of the geodesic flow and measures at infinity on negatively curved manifolds	1990	Vadim A. Kaimanovich	5
+	Harmonic measures and bowen-margulis measures	1990	F. Ledrappier	5
+ PDF Chat	Entropy-expansive maps	1972	Rufus Bowen	5
+ PDF Chat	Canonical Perturbation Theory of Anosov Systems and Regularity Results for the Livsic Cohomology Equation	1986	Rafael de la Llave J. M. Marco Roberto Moriyón	5
+	Differentiability and analyticity of topological entropy for Anosov and geodesic flows	1989	A. Katok Gerhard Knieper Mark Pollicott Howard M. Weiss	5
+	Shortening Embedded Curves	1989	M. Grayson	5
+	Elements of Asymptotic Geometry	2007	Sergei Buyalo Viktor Schroeder	5
+	Riemannian Manifolds With Geodesic Flow of Anosov Type	1974	Wilhelm Klingenberg	5
+	Growth of conjugacy classes in Gromov hyperbolic groups	2002	Michel Coornaert Gerhard Knieper	5
+ PDF Chat	Integral Geometric Properties of Non-compact Harmonic Spaces	2013	Norbert Peyerimhoff Evangelia Samiou	5
+ PDF Chat	The density at infinity of a discrete group of hyperbolic motions	1979	Dennis Sullivan	5
+	Geodesic flows on closed Riemann manifolds with negative curvature	1969	D. V. Anosov	5
+	Existence of quasi-periodic orbits for twist homeomorphisms of the annulus	1982	John N. Mather	4
+	Some geometrical conditions for the existence of chaotic geodesics on a torus	2002	Sergey Bolotin Paul H. Rabinowitz	4
+	Sur les vari�t�s compactes asymptotiquement harmoniques	1992	Patrick Foulon Fran�ois Labourie	4
+	Geodesic rays, Busemann functions and monotone twist maps	1994	Victor Bangert	4
+	Spherical means on compact Riemannian manifolds of negative curvature	1994	Gerhard Knieper	4