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
  • [21] On the geometry of nearly trans-Sasakian manifolds
    Rustanov, Aligadzhi R.
    Melekhina, Tatiana L.
    Kharitonova, Svetlana V.
    TURKISH JOURNAL OF MATHEMATICS, 2023, 47 (04) : 1144 - 1157
  • [22] Generic submanifolds of a trans-Sasakian manifold
    Shahid, MH
    Mihai, I
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1995, 47 (3-4): : 209 - 218
  • [23] A Note on Compact Trans-Sasakian Manifolds
    Deshmukh, Sharief
    Al-Solamy, Falleh
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (04) : 2099 - 2104
  • [24] On weak symmetries of trans-Sasakian manifolds
    Shaikh, Absos Ali
    Hui, Shyamal Kumar
    PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2009, 58 (04) : 213 - 223
  • [25] On invariant submanifolds of trans-Sasakian manifolds
    Sarkar, Avijit
    Sen, Matilal
    PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2012, 61 (01) : 29 - 37
  • [26] SOME RESULTS ON TRANS-SASAKIAN MANIFOLDS
    Prasad, Rajendra
    Srivastava, Vibha
    MATEMATICKI VESNIK, 2013, 65 (03): : 346 - 352
  • [27] Invariant Submanifolds of Trans-Sasakian Manifolds
    C. S. Bagewadi
    B. S. Anitha
    Ukrainian Mathematical Journal, 2016, 67 : 1469 - 1483
  • [28] ON SLANT CURVES IN TRANS-SASAKIAN MANIFOLDS
    Guvenc, Saban
    Ozgur, Cihan
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2014, 55 (02): : 81 - 100
  • [29] INVARIANT SUBMANIFOLDS OF A TRANS-SASAKIAN MANIFOLD
    CHINEA, D
    PERESTELO, PS
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1991, 38 (1-2): : 103 - 109
  • [30] Invariant Submanifolds of Trans-Sasakian Manifolds
    Bagewadi, C. S.
    Anitha, B. S.
    UKRAINIAN MATHEMATICAL JOURNAL, 2016, 67 (10) : 1469 - 1483