On an (ε, δ)-trans-Sasakian structure

被引:7
|
作者
Nagaraja, Halammanavar G. [1 ]
Premalatha, Rangaswami C. [1 ]
Somashekara, Ganganna [1 ]
机构
[1] Bangalore Univ, Dept Math, Bangalore 56001, Karnataka, India
关键词
trans-Sasakian manifold; Einstein manifold; phi-recurrent; (alpha; delta)-trans-Sasakian; pseudo-projective Ricci tensor;
D O I
10.3176/proc.2012.1.03
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper we investigate (epsilon, delta)-trans-Sasakian manifolds which generalize the notion of (epsilon)-Sasakian and (epsilon, delta)-Kenmotsu manifolds. We prove the existence of such a structure by an example and we consider phi-recurrent, pseudoprojectively flat and pseudo-projective semi-symmetric (epsilon, delta)-trans-Sasakian manifolds.
引用
收藏
页码:20 / 28
页数:9
相关论文
共 50 条
  • [41] Some curvature properties of trans-Sasakian manifolds
    Akbar A.
    Sarkar A.
    Lobachevskii Journal of Mathematics, 2014, 35 (2) : 56 - 64
  • [42] Lightlike Hypersurfaces in Indefinite Trans-Sasakian Manifolds
    Fortuné Massamba
    Results in Mathematics, 2013, 63 : 251 - 287
  • [43] Geometry of Harmonic Nearly Trans-Sasakian Manifolds
    Rustanov, Aligadzhi R.
    AXIOMS, 2023, 12 (08)
  • [44] A Note on Invariant Submanifolds of Trans-Sasakian Manifolds
    Hu, Chaogui
    Wang, Yaning
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2016, 9 (02): : 27 - 35
  • [45] A REMARK ON TRANS-SASAKIAN 3-MANIFOLDS
    Wang, Yaning
    Wang, Wenjie
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2019, 60 (01): : 257 - 264
  • [46] Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds
    Yadav, Satya Prakash
    Kishor, Shyam
    JOURNAL OF MATHEMATICS, 2014, 2014
  • [47] TRANS-SASAKIAN MANIFOLDS SATISFYING CERTAIN CONDITIONS
    Chaubey, S. K.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (02): : 305 - 314
  • [48] Totally geodesic submanifolds of a trans-Sasakian manifold
    De, Avik
    PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2013, 62 (04) : 249 - 257
  • [49] Some New Results on Trans-Sasakian Manifolds
    Wang, Lei
    Zhao, Yan
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [50] Some results on K - contact and Trans-Sasakian Manifolds
    Channabasappa, Bagewadi
    Basavarajappa, N. S.
    Prakasha, D. G.
    Venkatesha
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2008, 1 (02): : 21 - 31