Locally symmetric positively curved Finsler spaces

被引:7
|
作者
Kim, Chang-Wan [1 ]
机构
[1] Korea Inst Adv Study, Seoul 130722, South Korea
关键词
Finsler metrics; symmetric spaces; positive flag curvature; MANIFOLDS; CURVATURE;
D O I
10.1007/s00013-006-2010-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We showed that any compact locally symmetric Finsler metric with positive flag curvature must be Riemannian.
引用
收藏
页码:378 / 384
页数:7
相关论文
共 50 条
  • [21] Symmetric tensor gauge theories on curved spaces
    Slagle, Kevin
    Prem, Abhinav
    Pretko, Michael
    ANNALS OF PHYSICS, 2019, 410
  • [22] Moduli spaces of symmetric cubic fourfolds and locally symmetric varieties
    Yu, Chenglong
    Zheng, Zhiwei
    ALGEBRA & NUMBER THEORY, 2020, 14 (10) : 2647 - 2683
  • [23] THE STABLE CONVERSE SOUL QUESTION FOR POSITIVELY CURVED HOMOGENEOUS SPACES
    Gonzalez-Alvaro, David
    Zibrowius, Marcus
    JOURNAL OF DIFFERENTIAL GEOMETRY, 2021, 119 (02) : 261 - 307
  • [24] Degrees of maps between locally symmetric spaces
    Mondal, Arghya
    Sankaran, Parameswaran
    BULLETIN DES SCIENCES MATHEMATIQUES, 2016, 140 (05): : 488 - 505
  • [25] A GEOMETRIC CHARACTERIZATION OF NEGATIVELY CURVED LOCALLY SYMMETRICAL SPACES
    HAMENSTADT, U
    JOURNAL OF DIFFERENTIAL GEOMETRY, 1991, 34 (01) : 193 - 221
  • [26] On the completeness of dual foliations on nonnegatively curved symmetric spaces
    Silva, Renato J. M. E.
    Speranca, Llohann D.
    REVISTA MATEMATICA IBEROAMERICANA, 2022, 38 (03) : 851 - 856
  • [27] Spectrum of the Laplacian and Riesz transform on locally symmetric spaces
    Mandouvalos, Nikolaos
    Marias, Michel
    BULLETIN DES SCIENCES MATHEMATIQUES, 2009, 133 (02): : 134 - 144
  • [28] Completeness of certain compact Lorentzian locally symmetric spaces
    Leistner, Thomas
    Munn, Thomas
    COMPTES RENDUS MATHEMATIQUE, 2023, 361 (01) : 819 - 824
  • [29] Periodic flats and group actions on locally symmetric spaces
    Avramidi, Grigori
    GEOMETRY & TOPOLOGY, 2013, 17 (01) : 311 - 327
  • [30] On the coefficients of TYZ expansion of locally Hermitian symmetric spaces
    Loi, Andrea
    Zedda, Michela
    MANUSCRIPTA MATHEMATICA, 2015, 148 (3-4) : 303 - 315