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
  • [41] A POSITIVE MASS THEOREM FOR MANIFOLDS WITH BOUNDARY
    Hirsch, Sven
    Miao, Pengzi
    PACIFIC JOURNAL OF MATHEMATICS, 2020, 306 (01) : 185 - 201
  • [42] On the Positive Mass Theorem for Manifolds with Corners
    Donovan McFeron
    Gábor Székelyhidi
    Communications in Mathematical Physics, 2012, 313 : 425 - 443
  • [43] On the Positive Mass Theorem for Manifolds with Corners
    McFeron, Donovan
    Szekelyhidi, Gabor
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2012, 313 (02) : 425 - 443
  • [44] DYNAMICS OF ASYMPTOTICALLY HYPERBOLIC MANIFOLDS
    Rowlett, Julie
    PACIFIC JOURNAL OF MATHEMATICS, 2009, 242 (02) : 377 - 397
  • [45] Rigidity of asymptotically hyperbolic manifolds
    Shi, YG
    Tian, G
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 259 (03) : 545 - 559
  • [46] Weakly asymptotically hyperbolic manifolds
    Allen, Paul T.
    Isenberg, James
    Lee, John M.
    Allen, Iva Stavrov
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2018, 26 (01) : 1 - 61
  • [47] Rigidity of Asymptotically Hyperbolic Manifolds
    Yuguang Shi
    Gang Tian
    Communications in Mathematical Physics, 2005, 259 : 545 - 559
  • [48] The Positive Mass Theorem for Manifolds with Distributional Curvature
    Dan A. Lee
    Philippe G. LeFloch
    Communications in Mathematical Physics, 2015, 339 : 99 - 120
  • [49] STABILITY OF THE POSITIVE MASS THEOREM FOR AXISYMMETRIC MANIFOLDS
    Bryden, Edward T.
    PACIFIC JOURNAL OF MATHEMATICS, 2020, 305 (01) : 89 - 152
  • [50] The Positive Mass Theorem for Manifolds with Distributional Curvature
    Lee, Dan A.
    LeFloch, Philippe G.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 339 (01) : 99 - 120