Rigidity of Asymptotically Hyperbolic Manifolds

被引:0
作者
Yuguang Shi
Gang Tian
机构
[1] School of Mathematics Science,Key Laboratory of Pure and Applied Mathematics
[2] Peking University,Department of Mathematics
[3] Massachusetts Institute of Technology,Department of Mathematics
[4] Princeton University,undefined
来源
Communications in Mathematical Physics | 2005年 / 259卷
关键词
Neural Network; Manifold; Statistical Physic; Complex System; Nonlinear Dynamics;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we prove a rigidity theorem of asymptotically hyperbolic manifolds only under the assumptions on curvature. Its proof is based on analyzing asymptotic structures of such manifolds at infinity and a volume comparison theorem.
引用
收藏
页码:545 / 559
页数:14
相关论文
共 50 条
  • [11] Finite groups and hyperbolic manifolds
    Mikhail Belolipetsky
    Alexander Lubotzky
    Inventiones mathematicae, 2005, 162 : 459 - 472
  • [12] Coxeter groups and hyperbolic manifolds
    Brent Everitt
    Mathematische Annalen, 2004, 330 : 127 - 150
  • [13] Quasiconformal homogeneity of hyperbolic manifolds
    Petra Bonfert-Taylor
    Richard D. Canary
    Gaven Martin
    Edward Taylor
    Mathematische Annalen, 2005, 331 : 281 - 295
  • [14] Hyperbolic manifolds with convex boundary
    Jean-Marc Schlenker
    Inventiones mathematicae, 2006, 163 : 109 - 169
  • [15] Quantum Rigidity of Negatively Curved Manifolds
    Alexandru Chirvasitu
    Communications in Mathematical Physics, 2016, 344 : 193 - 221
  • [16] EEG dynamics on hyperbolic manifolds
    Tozzi, Arturo
    Peters, James F.
    Jausovec, Norbert
    NEUROSCIENCE LETTERS, 2018, 683 : 138 - 143
  • [17] On Deformation of Poisson Manifolds of Hydrodynamic Type
    Luca Degiovanni
    Franco Magri
    Vincenzo Sciacca
    Communications in Mathematical Physics, 2005, 253 : 1 - 24
  • [18] Strict Quantizations of Almost Poisson Manifolds
    Hanfeng Li
    Communications in Mathematical Physics, 2005, 257 : 257 - 272
  • [19] On deformation of Poisson manifolds of hydrodynamic type
    Degiovanni, L
    Magri, F
    Sciacca, V
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 253 (01) : 1 - 24
  • [20] “Real Doubles” of Hurwitz Frobenius Manifolds
    Vasilisa Shramchenko
    Communications in Mathematical Physics, 2005, 256 : 635 - 680