Locally Symmetric Contact Metric Manifolds

被引：0
|
作者：
E. Boeckx
J. T. Cho
机构：
[1] Katholieke Universiteit Leuven,
[2] Chonnam National University,undefined
来源：
Monatshefte für Mathematik | 2006年 / 148卷
关键词：
2000 Mathematics Subject Classifications: 53D10, 53C35; Key words: locally symmetric spaces, contact metric spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that a locally symmetric contact metric space is either Sasakian and of constant curvature 1 or locally isometric to the unit tangent sphere bundle (with its standard contact metric structure) of a Euclidean space.
引用
收藏
页码：269 / 281
页数：12
相关论文
共 50 条
  • [31] On contact metric statistical manifolds
    Akbari, Haniyeh
    Malek, Fereshteh
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021, 75
  • [32] Symmetries of contact metric manifolds
    Belgun, F
    Moroianu, A
    Semmelmann, U
    GEOMETRIAE DEDICATA, 2003, 101 (01) : 203 - 216
  • [33] Symmetries of Contact Metric Manifolds
    Florin Belgun
    Andrei Moroianu
    Uwe Semmelmann
    Geometriae Dedicata, 2003, 101 : 203 - 216
  • [34] LOCALLY AFFINE CONTACT MANIFOLDS
    SARI, T
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 292 (17): : 809 - 812
  • [35] TRANSVERSAL HYPERSURFACES OF ALMOST HYPERBOLIC CONTACT MANIFOLDS WITH A QUARTER SYMMETRIC NON METRIC CONNECTION
    Rahman, S.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2013, 3 (01): : 108 - 116
  • [36] On φ-quasiconformally symmetric (κ,μ)-contact manifolds
    Ghosh S.
    De U.C.
    Lobachevskii Journal of Mathematics, 2010, 31 (4) : 367 - 375
  • [37] Complex, Contact and Symmetric Manifolds
    Davidov, Johann T.
    JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, 2006, 7 : 107 - 109
  • [38] ON COMPACT, LOCALLY SYMMETRIC KAHLER MANIFOLDS
    CALABI, E
    VESENTINI, E
    ANNALS OF MATHEMATICS, 1960, 71 (03) : 472 - 507
  • [39] Pontryagin classes of locally symmetric manifolds
    Tshishiku, Bena
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2015, 15 (05): : 2709 - 2756
  • [40] QUANTIZATION OF LOCALLY SYMMETRIC KAHLER MANIFOLDS
    Hara, Kentaro
    Sako, Akifumi
    PROCEEDINGS OF THE NINETEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION, 2018, : 122 - 131
12345