PARA-COMPLEX STRUCTURES ON LINEAR COFRAME BUNDLE WITH SASAKIAN METRIC

被引：0
|
作者：
Fattayev, Habil [1 ]
机构：
[1] Baku State Univ, 23 Z Khalilov Str, AZ-1148 Baku, Azerbaijan
来源：
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2021年 / 47卷 / 01期
关键词：
Riemannian manifold; linear coframe bundle; Sasakian metric; paracomplex structure; almost para-Nordenian structure;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By using a Riemannian metric on a differentiable manifold, the Sasakian metric is introduced on the linear coframe bundle of the Riemannian manifold. Geometric properties of Levi-Civita connection of Sasakian metric are investigated. Also, para-complex structures on the linear coframe bundle with Sasakian metric are constructed and some interesting properties of those structures are studied.
引用
收藏
页码：67 / 77
页数：11
相关论文
共 50 条
  • [41] Paracontact metric structures on the unit tangent sphere bundle
    Calvaruso, Giovanni
    Martin-Molina, Veronica
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2015, 194 (05) : 1359 - 1380
  • [42] Paracontact metric structures on the unit tangent sphere bundle
    Giovanni Calvaruso
    Verónica Martín-Molina
    Annali di Matematica Pura ed Applicata (1923 -), 2015, 194 : 1359 - 1380
  • [43] The correlation of a polar, invariant, linear complex and the second Gamma-bundle structures from it
    Jolles, S
    MATHEMATISCHE ZEITSCHRIFT, 1919, 3 : 209 - 212
  • [44] CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION
    Ozgur, Cihan
    Ahmad, Mobin
    Haseeb, Abdul
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 39 (04): : 489 - 496
  • [45] Half-Dimensional Immersions into the Para-Complex Projective Space and Ruh-Vilms Type Theorems
    Dorfmeister, Josef F.
    Hildebrand, Roland
    Kobayashi, Shimpei
    RESULTS IN MATHEMATICS, 2024, 79 (07)
  • [46] HOMOGENEOUS KAHLER AND SASAKIAN STRUCTURES RELATED TO COMPLEX HYPERBOLIC SPACES
    Gadea, P. M.
    Oubina, J. A.
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2010, 53 : 393 - 413
  • [47] PARA-SASAKIAN MANIFOLD ADMITTING RICCI-YAMABE SOLITONS WITH QUARTER SYMMETRIC METRIC CONNECTION
    Vandana
    Budhiraja, Rajeev
    Ahmad, Kamran
    Siddiqui, Aliya Naaz
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2024, 39 (03): : 493 - 505
  • [48] CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD ENDOWED WITH A QUARTER SYMMETRIC METRIC CONNECTION
    Ahmad, Aobin
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (01) : 25 - 32
  • [49] On almost complex structures in the cotangent bundle
    Salimov, Arif
    Gezer, Aydin
    Aslanci, Seher
    TURKISH JOURNAL OF MATHEMATICS, 2011, 35 (03) : 487 - 492
  • [50] Statistical structures on the tangent bundle of a statistical manifold with Sasaki metric
    Balan, Vladimir
    Peyghan, Esmaeil
    Sharahi, Esa
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (01): : 120 - 135
12345