A mass for asymptotically complex hyperbolic manifolds
Differential Geometry
2009-11-03 v1
Abstract
We prove a positive mass theorem for complete K\"ahler manifolds that are asymptotic to the complex hyperbolic space.
Keywords
Cite
@article{arxiv.0911.0306,
title = {A mass for asymptotically complex hyperbolic manifolds},
author = {Vincent Minerbe and Daniel Maerten},
journal= {arXiv preprint arXiv:0911.0306},
year = {2009}
}
Related papers
View all related →
General Relativity and Quantum Cosmology · Physics
Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary
Piotr T. Chruściel, Gregory J. Galloway
2021-12-08
Differential Geometry · Mathematics
Mass rigidity for hyperbolic manifolds
Lan-Hsuan Huang, Hyun Chul Jang, Daniel Martin
2019-11-27
Differential Geometry · Mathematics
Positive mass theorem for some asymptotically hyperbolic manifolds
Bernd Ammann, Nadine Große
2015-02-19
Differential Geometry · Mathematics
A mass for ALF manifolds
Vincent Minerbe
2015-05-13
Differential Geometry · Mathematics
Mass in K\"ahler Geometry
Hans-Joachim Hein, Claude LeBrun
2016-03-18
Mathematical Physics · Physics
A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners Along a Hypersurface
Vincent Bonini, Jie Qing
2009-11-13
Differential Geometry · Mathematics
Almost Rigidity of the Positive Mass Theorem for Asymptotically Hyperbolic Manifolds with Spherical Symmetry
A Sakovich, C Sormani
2018-05-14
Differential Geometry · Mathematics
A Positive Mass Theorem for Spaces with Asymptotic SUSY Compactification
Xianzhe Dai
2009-11-10
Differential Geometry · Mathematics
Asymptotically hyperbolic manifolds with small mass
Mattias Dahl, Romain Gicquaud, Anna Sakovich
2014-01-10
Differential Geometry · Mathematics
A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary
Sergio Almaraz, Shaodong Wang
2025-06-26
Differential Geometry · Mathematics
On the stability of the positive mass theorem for asymptotically hyperbolic graphs
Armando J. Cabrera Pacheco
2019-07-22
Differential Geometry · Mathematics
Positive mass theorems for manifolds with ALH toroidal ends
Gregory J. Galloway, Tin-Yau Tsang
2026-02-10
General Relativity and Quantum Cosmology · Physics
On the total mass of asymptotically hyperbolic manifolds
Hamed Barzegar, Piotr T. Chruściel, Luc Nguyen
2021-06-21
Differential Geometry · Mathematics
Positive mass theorem with arbitrary ends and its application
Jintian Zhu
2022-04-13
Differential Geometry · Mathematics
The mass of an asymptotically hyperbolic manifold with a noncompact boundary
Sergio Almaraz, Levi Lopes de Lima
2019-01-04
Differential Geometry · Mathematics
Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds
Lars Andersson, Mingliang Cai, Gregory J. Galloway
2009-11-13
Differential Geometry · Mathematics
Density and positive mass theorems for incomplete manifolds
Dan A. Lee, Martin Lesourd, Ryan Unger
2022-11-14
Differential Geometry · Mathematics
Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds
Armando J. Cabrera Pacheco, Melanie Graf, Raquel Perales
2023-04-18
Differential Geometry · Mathematics
Hyperbolic positive energy theorems
Piotr T. Chrusciel
2021-12-03
General Relativity and Quantum Cosmology · Physics
On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds
Piotr T. Chruściel, Gregory J. Galloway, Luc Nguyen, Tim-Torben Paetz
2019-05-31
Differential Geometry · Mathematics
Hyperbolic mass via horospheres
Hyun Chul Jang, Pengzi Miao
2022-03-30
Differential Geometry · Mathematics
The Positive Mass Theorem with Arbitrary Ends
Martin Lesourd, Ryan Unger, Shing-Tung Yau
2021-03-05
Differential Geometry · Mathematics
A positive mass theorem for asymptotically flat manifolds with a non-compact boundary
Sergio Almaraz, Ezequiel Barbosa, Levi Lopes de Lima
2014-07-03
Differential Geometry · Mathematics
Positive mass theorems for asymptotically AdS spacetimes with arbitrary cosmological constant
Naqing Xie, Xiao Zhang
2008-11-26
Differential Geometry · Mathematics
Mass and rigidity in almost K\"ahler geometry
Partha Ghosh
2026-03-10