On Nearly Kahler Finsler Spaces

被引:0
|
作者
Didehkhani, Z. [1 ]
Najafi, B. [2 ]
Heidari, N. [3 ]
机构
[1] Shahed Univ, Fac Sci, Dept Math, Tehran, Iran
[2] Amirkabir Univ, Dept Math & Comp Sci, Tehran, Iran
[3] Univ Mohaghegh Ardabili, Dept Math, Ardebil, Iran
关键词
Rizza manifold; (a; b; J)-metric; Nearly Kahlerian Finsler manifold; Projective equivalent; Berwald metric; Landsberg metric;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Ichijyo introduced (a, b, J)-manifolds as a special class of generalized Randers manifolds. We introduce generalized (a, b, J)-manifolds. A partial negative answer to Ichijyo's open problem on nearly Kahler Finsler manifolds is given. The condition under which generalized (a, b, J)-manifolds are Berwaldian is obtained. Finally, we prove that under a mild assumption a nearly Kahler Finsler manifold is Landsbergian.
引用
收藏
页码:1243 / 1268
页数:26
相关论文
共 50 条
  • [1] SOME GEOMETRICAL RESULTS ON NEARLY KAHLER FINSLER MANIFOLDS
    Nezhad, Akbar Dehghan
    Beizavi, Sareh
    Tayebi, Akbar
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2022, 37 (02): : 295 - 305
  • [2] Nearly autoparallel maps of Lagrange and Finsler spaces
    Vacaru, S
    Ostaf, S
    LAGRANGE AND FINSLER GEOMETRY: APPLICATIONS TO PHYSICS AND BIOLOGY, 1996, 76 : 241 - 253
  • [3] Wu's theorem for Kahler-Finsler spaces
    Chen, Xinxiang
    Yan, Rongmu
    ADVANCES IN MATHEMATICS, 2015, 275 : 184 - 194
  • [4] A Kahler structure on Finsler spaces with nonzero constant flag curvature
    Peyghan, E.
    Tayebi, A.
    JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (02)
  • [5] Deformation quantization of almost Kahler models and Lagrange-Finsler spaces
    Vacaru, Sergiu I.
    JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (12)
  • [6] Reducing the heterotic supergravity on nearly-Kahler coset spaces
    Chatzistavrakidis, A.
    Manousselis, P.
    Zoupanos, G.
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2009, 57 (5-7): : 527 - 534
  • [7] Kahler Finsler Metrics Are Actually Strongly Kahler
    Chen, Bin
    Shen, Yibing
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2009, 30 (02) : 173 - 178
  • [8] Kahler and para-Kahler structures associated with finsler spaces of non-zero constant flag curvature
    Crampin, M.
    HOUSTON JOURNAL OF MATHEMATICS, 2008, 34 (01): : 99 - 114
  • [9] Nearly Pseudo-Kahler and Nearly Para-Kahler Manifolds
    Schaefer, Lars
    NEARLY PSEUDO-KAHLER MANIFOLDS AND RELATED SPECIAL HOLONOMIES, 2017, 2201 : 41 - 129
  • [10] Nearly Kahler and nearly Kenmotsu manifolds
    Heidari, Nikrooz
    Kashani, Niloufar Hossein Pour
    Najafi, Behzad
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (03) : 967 - 976