Leonardo Biliotti

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All published works

Action	Title	Year	Authors
+	Projective representations of real semisimple Lie groups and the gradient map	2025	Leonardo Biliotti
+ PDF Chat	Complex Structures on Product Manifolds	2024	Leonardo Biliotti Alessandro Minuzzo
+	Correction: Stability, Analytic Stability for Real Reductive Lie Groups	2024	Leonardo Biliotti Oluwagbenga Joshua Windare
+	A Hilbert–Mumford criterion for polystability for actions of real reductive Lie groups	2024	Leonardo Biliotti Oluwagbenga Joshua Windare
+ PDF Chat	Common Singularities of Commuting Vector Fields	2024	Leonardo Biliotti Oluwagbenga Joshua Windare
+ PDF Chat	Properties of gradient maps associated with action of real reductive group	2023	Leonardo Biliotti Oluwagbenga Joshua Windare
+ PDF Chat	Stability, Analytic Stability for Real Reductive Lie Groups	2023	Leonardo Biliotti Oluwagbenga Joshua Windare
+	Common Singularities of Commuting Vector Fields	2023	Leonardo Biliotti Oluwagbenga Joshua Windare
+	A Hilbert-Mumford Criterion for polystability for actions of real reductive Lie groups	2023	Leonardo Biliotti Oluwagbenga Joshua Windare
+ PDF Chat	Satake-Furstenberg compactifications and gradient map	2022	Leonardo Biliotti
+	Stability, analytic stability for real reductive Lie groups	2022	Leonardo Biliotti Oluwagbenga Joshua Windare
+	Projective representations of real reductive Lie groups and the gradient map	2022	Leonardo Biliotti
+	Reduction principles for proper actions	2022	Leonardo Biliotti
+ PDF Chat	COMPACT ORBITS OF PARABOLIC SUBGROUPS	2021	Leonardo Biliotti Oluwagbenga Joshua Windare
+ PDF Chat	A Splitting Result for Real Submanifolds of a Kähler Manifold	2021	Leonardo Biliotti
+	Compact orbits of Parabolic subgroups	2021	Leonardo Biliotti Joshua O. Windare
+	A splitting result for real submanifolds of a Kahler manifold	2021	Leonardo Biliotti
+	Compact orbits of Parabolic subgroups	2021	Leonardo Biliotti Joshua O. Windare
+	A splitting result for real submanifolds of a Kahler manifold	2021	Leonardo Biliotti
+	Properties of Gradient maps associated with Action of Real reductive Group	2021	Leonardo Biliotti Oluwagbenga Joshua Windare
+ PDF Chat	A group theoretic proof of a compactness lemma and existence of nonradial solutions for semilinear elliptic equations	2020	Leonardo Biliotti Gaetano Siciliano
+	Convexity properties of gradient maps associated to real reductive representations	2020	Leonardo Biliotti
+	A group theoretic proof of a compactness lemma and existence of nonradial solutions for semilinear elliptic equations	2020	Leonardo Biliotti Gaetano Siciliano
+ PDF Chat	MEROMORPHIC LIMITS OF AUTOMORPHISMS	2020	Leonardo Biliotti Alessandro Ghigi
+	Satake-Furstenberg compactifications and gradient map	2020	Leonardo Biliotti
+	A group theoretic proof of a compactness lemma and existence of nonradial solutions for semilinear elliptic equations	2020	Leonardo Biliotti Gaetano Siciliano
+ PDF Chat	The Kempf–Ness Theorem and invariant theory for real reductive representations	2019	Leonardo Biliotti
+	Meromorphic limits of automorphisms	2019	Leonardo Biliotti Alessandro Ghigi
+	Meromorphic limits of automorphisms	2019	Leonardo Biliotti Alessandro Ghigi
+ PDF Chat	Convexity theorems for the gradient map on probability measures	2018	Leonardo Biliotti Alberto Raffero
+	Remarks on the abelian convexity theorem	2018	Leonardo Biliotti Alessandro Ghigi
+	Remarks on the abelian convexity theorem	2018	Leonardo Biliotti Alessandro Ghigi
+	Remarks on the abelian convexity theorem	2018	Leonardo Biliotti Alessandro Ghigi
+ PDF Chat	Stability with respect to actions of real reductive Lie groups	2017	Leonardo Biliotti Michela Zedda
+	Atiyah-like results for the gradient map on probability measures	2017	Leonardo Biliotti Alberto Raffero
+ PDF Chat	Riemannian Hilbert Manifolds	2017	Leonardo Biliotti Francesco Mercuri
+	Stability of measures on Kähler manifolds	2016	Leonardo Biliotti Alessandro Ghigi
+	Stability with respect to actions of real reductive Lie groups	2016	Leonardo Biliotti Michela Zedda
+ PDF Chat	Invariant convex sets in polar representations	2016	Leonardo Biliotti Alessandro Ghigi Peter Heinzner
+	Stability with respect to actions of real reductive Lie groups	2016	Leonardo Biliotti Michela Zedda
+	Riemannian Hilbert manifolds	2016	Leonardo Biliotti Francesco Mercuri
+	Stability of measures on K\"ahler manifolds	2015	Leonardo Biliotti Alessandro Ghigi
+	Stability of measures on Kähler manifolds	2015	Leonardo Biliotti Alessandro Ghigi
+	Invariant convex sets in polar representations	2014	Leonardo Biliotti Alessandro Ghigi Peter Heinzner
+ PDF Chat	Properly discontinuous actions on Hilbert manifolds	2014	Leonardo Biliotti Francesco Mercuri
+	A remark on the gradient map	2014	Leonardo Biliotti Alessandro Ghigi Peter Heinzner
+	A REMARK ON THE GRADIENT MAP	2014	Leonardo Biliotti Alessandro Ghigi Peter Heinzner
+	Invariant convex sets in polar representations	2014	Leonardo Biliotti Alessandro Ghigi Peter Heinzner
+ PDF Chat	A remark on the gradient map	2014	Leonardo Biliotti Alessandro Ghigi P. Heinzner
+	A remark on the gradient map	2014	Leonardo Biliotti Alessandro Ghigi Peter Heinzner
+	Properly discontinuous actions on Hilbert manifolds	2013	Leonardo Biliotti Francesco Mercuri
+	Satake-Furstenberg compactifications, the moment map and λ 1	2013	Leonardo Biliotti Alessandro Ghigi
+ PDF Chat	Polar orbitopes	2013	Leonardo Biliotti Alessandro Ghigi Peter Heinzner
+	Properly discontinuous actions on Hilbert manifolds	2013	Leonardo Biliotti Francesco Mercuri
+	Polar orbitopes	2012	Leonardo Biliotti Alessandro Ghigi Peter Heinzner
+	Coadjoint orbitopes	2011	Leonardo Biliotti Alessandro Ghigi Peter Heinzner
+ PDF Chat	On the semi-Riemannian bumpy metric theorem	2011	Leonardo Biliotti Miguel Ángel Javaloyes Paolo Piccione
+	t-periodic light rays in conformally stationary spacetimes via Finsler geometry	2011	Leonardo Biliotti Miguel Ángel Javaloyes
+	Coadjoint orbitopes	2011	Leonardo Biliotti Alessandro Ghigi Peter Heinzner
+	Satake-Furstenberg compactifications, the moment map and \lambda_1	2010	Leonardo Biliotti Alessandro Ghigi
+	Satake-Furstenberg compactifications, the moment map and λ_1	2010	Leonardo Biliotti Alessandro Ghigi
+	On the moment map on symplectic manifolds	2009	Leonardo Biliotti
+ PDF Chat	Genericity of nondegenerate critical points and Morse geodesic functionals	2009	Leonardo Biliotti Miquel Angel Javaloyes Paolo Piccione
+	$t$-periodic light rays in conformally stationary spacetimes via Finsler geometry	2008	Leonardo Biliotti Miguel Ángel Javaloyes
+	Genericity of nondegenerate critical points and Morse geodesic functionals	2008	Leonardo Biliotti Miguel Ángel Javaloyes Paolo Piccione
+ PDF Chat	On a Gromoll-Meyer type theorem in globally hyperbolic stationary spacetimes	2008	Leonardo Biliotti Francesco Mercuri Paolo Piccione
+ PDF Chat	Homogeneous bundles and the first eigenvalue of symmetric spaces	2008	Leonardo Biliotti Alessandro Ghigi
+ PDF Chat	Hamiltonian actions and homogeneous Lagrangian submanifolds	2007	Leonardo Biliotti
+	On a Gromoll-Meyer type theorem in globally hyperbolic stationary spacetimes	2007	Leonardo Biliotti Francesco Mercuri Paolo Piccione
+	Homogeneous bundles and the first eigenvalue of symmetric spaces	2007	Leonardo Biliotti Alessandro Ghigi
+ PDF Chat	Polar actions on compact rank one symmetric spaces are taut	2006	Leonardo Biliotti Cláudio Gorodski
+ PDF Chat	On the Singularities of the Exponential Map in Infinite Dimensional Riemannian Manifolds	2006	Leonardo Biliotti Ruy Exel Paolo Piccione Daniel V. Tausk
+	Coisotropic and polar actions on compact irreducible Hermitian symmetric spaces	2006	Leonardo Biliotti
+	On the moment map on symplectic manifolds	2006	Leonardo Biliotti
+	Hamiltonian actions and Lagrangian homogeneous submanifolds	2006	Leonardo Biliotti
+	Polar actions on compact irreducible symmetric spaces are taut	2005	Leonardo Biliotti Cláudio Gorodski
+	Polar actions on compact rank one symmetric spaces are taut	2005	Leonardo Biliotti Cláudio Gorodski
+	Coisotropic and polar actions on complex Grassmannians	2004	Leonardo Biliotti Anna Maria Gori
+	Properly Discontinuous Isometric Actions on the Unit Sphere of Infinite Dimensional Hilbert Spaces	2004	Leonardo Biliotti
+ PDF Chat	The exponential map of a weak Riemannian Hilbert manifold	2004	Leonardo Biliotti
+	Kahler reductions, Kahler cuts and coisotropic actions	2004	Leonardo Biliotti
+	Some results on Multiplicity-free spaces	2004	Leonardo Biliotti
+	Exponential map of a weak Riemannian Hilbert manifold	2004	Leonardo Biliotti
+	Coisotropic and polar actions on compact irreducible Hermitian symmetric spaces	2004	Leonardo Biliotti
+	On the Singularities of the Exponential Map in Infinite Dimensional Riemannian Manifolds	2004	Leonardo Biliotti R. Exel Paolo Piccione Daniel V. Tausk
+	Coisotropic actions on Complex Grassmannians	2003	Leonardo Biliotti Anna Maria Gori
+	Some Results on Infinite Dimensional Riemannian Geometry	2003	Leonardo Biliotti
+	Coisotropic and Polar actions on Complex Grassmannians	2003	Leonardo Biliotti Anna Maria Gori
+	Properly Discontinuous Isometric Actions on the Unit Sphere of Infinite Dimensional Hilbert Spaces	2003	Leonardo Biliotti
+ PDF Chat	A note on tensor fields in Hilbert spaces	2002	Leonardo Biliotti Francesco Mercuri Daniel V. Tausk
+ PDF Chat	Alguns aspectos da geometria riemanniana das variedades de Hilbert	2002	Leonardo Biliotti
+	On the automorphism group of a second order structure	2000	Leonardo Biliotti

Common Coauthors

Coauthor	Papers Together
Alessandro Ghigi	25
Oluwagbenga Joshua Windare	10
Peter Heinzner	10
Paolo Piccione	7
Francesco Mercuri	7
Miguel Ángel Javaloyes	4
Cláudio Gorodski	3
Daniel V. Tausk	3
Gaetano Siciliano	3
Michela Zedda	3
Alberto Raffero	2
Anna Maria Gori	2
Joshua O. Windare	2
Alessandro Minuzzo	1
Francesco Mercuri	1
P. Heinzner	1
Anna Maria Gori	1
Miquel Angel Javaloyes	1
R. Exel	1
Ruy Exel	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Cartan decomposition of the moment map	2006	Peter Heinzner Gerald W. Schwarz	25
+ PDF Chat	Stratifications with respect to actions of real reductive groups	2008	Peter Heinzner Gerald W. Schwarz Henrik Stötzel	21
+	Convexity and Commuting Hamiltonians	1982	Michael Atiyah	20
+	Convexity properties of gradient maps	2010	Peter Heinzner Patrick Schützdeller	19
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	17
+	Critical Points of the Square of the Momentum Map	2006	Peter Heinzner Henrik Stötzel	16
+	Upper bound for the first eigenvalue of algebraic submanifolds	1994	Jean-Pierre Bourguignon Peter Li Shing Tung Yau	14
+ PDF Chat	Semistable points with respect to real forms	2006	Peter Heinzner Henrik Stötzel	14
+ PDF Chat	Invariant convex sets in polar representations	2016	Leonardo Biliotti Alessandro Ghigi Peter Heinzner	14
+	Convexity properties of the moment mapping. II	1984	Victor Guillemin S. Sternberg	14
+	Foundations of Differential Geometry	1963	Shôshichi Kobayashi Katsumi Nomizu	13
+ PDF Chat	On convexity, the Weyl group and the Iwasawa decomposition	1973	Bertram Kostant	13
+ PDF Chat	Polar coordinates induced by actions of compact Lie groups	1985	Jiri Dadok	13
+ PDF Chat	Critical Point Theory and Submanifold Geometry	1988	Richard S. Palais Chuu-liang Terng	12
+	The length of vectors in representation spaces	1979	George R. Kempf Linda Ness	12
+	Stability of measures on Kähler manifolds	2016	Leonardo Biliotti Alessandro Ghigi	12
+	Kählerian potentials and convexity properties of the moment map	1996	Peter Heinzner Alan Huckleberry	11
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	11
+	Multiplicity-free complex manifolds	1990	Alan Huckleberry Tilmann Wurzbacher	11
+	Lie Groups Beyond an Introduction	1996	Anthony W. Knapp	10
+	Convexity properties of the moment mapping	1982	Victor Guillemin S. Sternberg	10
+	Compactifications of Symmetric and Locally Symmetric Spaces	2006	Armand Borel Lizhen Ji	9
+ PDF Chat	Stability with respect to actions of real reductive Lie groups	2017	Leonardo Biliotti Michela Zedda	9
+	Symplectic Techniques in Physics	1984	Victor Guillemin Shlomo Sternberg	9
+	Satake-Furstenberg compactifications, the moment map and λ 1	2013	Leonardo Biliotti Alessandro Ghigi	9
+ PDF Chat	Stable bundles and the first eigenvalue of the Laplacian	2007	Claudio Arezzo Alessandro Ghigi Andrea Loi	8
+	Geometric invariant theory on Stein spaces	1991	Peter Heinzner	8
+ PDF Chat	Homogeneous bundles and the first eigenvalue of symmetric spaces	2008	Leonardo Biliotti Alessandro Ghigi	8
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin	8
+	Cohomology of Quotients in Symplectic and Algebraic Geometry	1984	Frances Kirwan	8
+	The Exponential Map on the Free Loop Space is Fredholm	1997	G. Misio ek	8
+	Polar representations of compact groups and convex hulls of their orbits	2010	V. M. Gichev	8
+	A REMARK ON THE GRADIENT MAP	2014	Leonardo Biliotti Alessandro Ghigi Peter Heinzner	8
+ PDF Chat	Polar orbitopes	2013	Leonardo Biliotti Alessandro Ghigi Peter Heinzner	8
+	Introduction to Group Actions in Symplectic and Complex Geometry	2001	Alan Huckleberry	7
+	Lie group actions in complex analysis	1995	Dmitri Akhiezer	7
+ PDF Chat	The Moment-Weight Inequality and the Hilbert–Mumford Criterion	2021	Valentina Georgoulas Joel W. Robbin Dietmar Salamon	7
+	Remarks on the abelian convexity theorem	2018	Leonardo Biliotti Alessandro Ghigi	7
+	Polar and coisotropic actions on Kähler manifolds	2002	Fabio Podestà Gudlaugur Thorbergsson	7
+ PDF Chat	SYMPLECTIC STABILITY, ANALYTIC STABILITY IN NON-ALGEBRAIC COMPLEX GEOMETRY	2004	Andrei Teleman	7
+ PDF Chat	Hilbert manifolds without epiconjugate points	1965	Nathaniel Grossman	7
+ PDF Chat	A classification of irreducible prehomogeneous vector spaces and their relative invariants	1977	Masahide Sato T. Kimura	7
+	A Hitchin-Kobayashi correspondence for Kähler fibrations	2000	Ignasi Mundet i Riera	7
+ PDF Chat	Holomorphic Slices, Symplectic Reduction and Multiplicities of Representations	1995	Reyer Sjamaar	6
+	On Representations and Compactifications of Symmetric Riemannian Spaces	1960	Ichirō Satake	6
+	Global Lorentzian Geometry	2017	John K. Beem Paul E. Ehrlich Kevin L. Easley	6
+ PDF Chat	Spaces of constant curvature	2010	Joseph A. Wolf	6
+	Coisotropic and polar actions on complex Grassmannians	2004	Leonardo Biliotti Anna Maria Gori	6
+ PDF Chat	Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity	2009	Michael Kapovich Bernhard Lee John J. Millson	6
+	Some remarks on nilpotent orbits	1980	Victor G. Kač	6