The conformal group of a compact simply connected Lorentzian manifold

Karin Melnick, Vincent Pecastaing

Type: Article

Publication Date: 2021-03-17

Citations: 4

DOI: https://doi.org/10.1090/jams/976

View Publication

Locations

Journal of the American Mathematical Society - View
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View

Similar Works

Action	Title	Year	Authors
+	The conformal group of a compact simply connected Lorentzian manifold	2019	Karin Melnick Vincent Pecastaing
+	The conformal group of a compact simply connected Lorentzian manifold.	2019	Karin Melnick Vincent Pecastaing
+	The Lorentzian Lichnerowicz Conjecture for real-analytic, three-dimensional manifolds	2021	Charles Frances Karin Melnick
+ PDF Chat	The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds	2023	Charles Frances Karin Melnick
+ PDF Chat	Essential conformal actions of $${{\mathrm{PSL}}}(2,\mathbf {R})$$ PSL ( 2 , R ) on real-analytic compact Lorentz manifolds	2016	Vincent Pecastaing
+ PDF Chat	The Conformal Transformation Group of a Compact Riemannian Manifold	1962	Samuel I. Goldberg Shôshichi Kobayashi
+ PDF Chat	Lorentzian manifolds with a conformal action of SL(2,R)	2018	Vincent Pecastaing
+	The Isometry Group of a Compact Lorentz Manifold	2001
+	The isometry group of a compact Lorentz manifold. I	1997	Scot Adams Garrett Stuck
+ PDF Chat	The conformal transformation group of a compact homogeneous Riemannian manifold	1962	Samuel I. Goldberg Shôshichi Kobayashi
+ PDF Chat	The group of conformal transformations of a compact Riemannian manifold	1968	Chuan-Chih Hsiung Jong-Diing Liu
+	The isometry group of a compact Lorentz manifold. II	1997	Scot Adams Garrett Stuck
+	Holomorphic Riemannian metric and fundamental group	2018	Indranil Biswas Sorin Dumitrescu
+	Lie group structures on automorphism groups of real-analytic CR manifolds	2006	Bernhard Lamel Nordine Mir Dmitri Zaitsev
+	Lie group structures on automorphism groups of real-analytic CR manifolds	2006	Bernhard Lamel Nordine Mir Dmitri Zaitsev
+ PDF Chat	Isometry Groups and Geodesic Foliations of Lorentz Manifolds. Part II: Geometry of Analytic Lorentz Manifolds with Large Isometry Groups	1999	Abdelghani Zeghib
+ PDF Chat	Lie group structures on automorphism groups of real-analytic CR manifolds	2008	Bernhard Lamel Nordine Mir Dmitri Zaitsev
+	Isometry groups and geodesic foliations of Lorentz manifolds. Part II: Geometry of analytic Lorentz manifolds with large isometry groups	1997	Abdelghani Zeghib
+ PDF Chat	On the Conformal Transformation Group of a Compact Riemannian Manifold with Constant Scalar Curvature	1992	Hiroyasu Izeki
+	Isometry Group of a Compact Riemannian Manifold with Simple Spectrum	1985	Akira Ikeda

Works That Cite This (5)

Action	Title	Year	Authors
+	Conformal vector fields on Lie groups: The trans-Lorentzian signature	2024	Hui Zhang Zhiqi Chen Ju Tan
+	Pseudo-Conformal actions of the Möbius group	2023	Mehdi Belraouti Mohamed Deffaf Yazid Raffed Abdelghani Zeghib
+	On Lie Groups with Conformal Vector Fields Induced by Derivations	2024	Hui Zhang Zhiqi Chen
+ PDF Chat	The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds	2023	Charles Frances Karin Melnick
+	Conformal transformations of Cahen–Wallach spaces	2025	Thomas Leistner Stuart Teisseire

Works Cited by This (41)

Action	Title	Year	Authors
+ PDF Chat	The conjectures on conformal transformations of Riemannian manifolds	1971	Morio Obata
+ PDF Chat	Vector fields of a finite type $G$-structure	1979	A. M. Amores
+ PDF Chat	Ordinary Differential Equations and Dynamical Systems	2012	Gerald Teschl
+	The identity component of the isometry group of a compact Lorentz manifold	1998	Abdelghani Zeghib
+	Ergodic Theory and Semisimple Groups	1984	Robert J. Zimmer
+ PDF Chat	Conformal Actions of Simple Lie Groups on Compact Pseudo-Riemannian Manifolds	2002	Uri Bader Amos Nevo
+	Semi-simple Lie groups acting conformally on compact Lorentz manifolds	2015	Vincent Pecastaing
+	Ratner's Theorems on Unipotent Flows	2005	Dave Witte Morris
+ PDF Chat	ABOUT PSEUDO-RIEMANNIAN LICHNEROWICZ CONJECTURE	2015	Charles Frances
+	Basic Algebraic Geometry 2	1994	Igor R. Shafarevich