Positive mass theorem for some asymptotically hyperbolic manifolds

被引:0
|
作者
Bernd Ammann
Nadine Große
机构
[1] Universität Regensburg,Fakultät für Mathematik
[2] Universität Freiburg,Mathematisches Institut
关键词
Positive mass; Hyperbolic spaces; Spin; Primary: 53C21; Secondary: 53C27;
D O I
暂无
中图分类号
学科分类号
摘要
We prove a positive mass theorem for some noncompact spin manifolds that are asymptotic to products of hyperbolic space with a compact manifold. As a conclusion we show the Yamabe inequality for some noncompact manifolds which are important to understand the behaviour of Yamabe invariants under surgeries.
引用
收藏
页码:165 / 180
页数:15
相关论文
共 50 条
  • [31] A definition of total energy-momenta and the positive mass theorem on asymptotically hyperbolic 3-manifolds. I
    Zhang, X
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 249 (03) : 529 - 548
  • [32] The positive mass theorem for asymptotically flat manifolds with isolated conical singularities
    Dai, Xianzhe
    Sun, Yukai
    Wang, Changliang
    SCIENCE CHINA-MATHEMATICS, 2024,
  • [33] Rigidity and positivity of mass for asymptotically hyperbolic manifolds
    Andersson, Lars
    Cai, Mingliang
    Calloway, Gregory J.
    ANNALES HENRI POINCARE, 2008, 9 (01): : 1 - 33
  • [34] Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds
    Lars Andersson
    Mingliang Cai
    Gregory J. Galloway
    Annales Henri Poincaré, 2008, 9 : 1 - 33
  • [35] The Penrose Inequality and Positive Mass Theorem with Charge for Manifolds with Asymptotically Cylindrical Ends
    Jaroslaw S. Jaracz
    Annales Henri Poincaré, 2020, 21 : 2581 - 2609
  • [36] POSITIVE MASS THEOREM FOR ASYMPTOTICALLY FLAT SPIN MANIFOLDS WITH ISOLATED CONICAL SINGULARITIES
    Dai, Xianzhe
    Sun, Yukai
    Wang, Changliang
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2025, 378 (04) : 2617 - 2642
  • [37] The Penrose Inequality and Positive Mass Theorem with Charge for Manifolds with Asymptotically Cylindrical Ends
    Jaracz, Jaroslaw S.
    ANNALES HENRI POINCARE, 2020, 21 (08): : 2581 - 2609
  • [38] A positive mass theorem for asymptotically flat manifolds with a non-compact boundary
    Almaraz, Sergio
    Barbosa, Ezequiel
    de Lima, Levi Lopes
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2016, 24 (04) : 673 - 715
  • [39] LIMIT OF QUASILOCAL MASS INTEGRALS IN ASYMPTOTICALLY HYPERBOLIC MANIFOLDS
    Kwong, Kwok-Kun
    Tam, Luen-Fai
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (01) : 313 - 324
  • [40] A Boundary-Local Mass Cocycle and the Mass of Asymptotically Hyperbolic Manifolds
    Cap, Andreas
    Gover, A. Rod
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2024, 405 (10)