Totally geodesic submanifolds of a trans-Sasakian manifold

被引：6
|
作者：
De, Avik [1 ]
机构：
[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia
来源：
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2013年 / 62卷 / 04期
关键词：
invariant submanifold; trans-Sasakian manifold; totally geodesic; semi-parallel; recurrent; pseudo-parallel; Ricci generalized pseudo-parallel; INVARIANT SUBMANIFOLDS;
D O I：
10.3176/proc.2013.4.05
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：
We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X;Y).h = 0, where Z is the concircular curvature tensor.
引用
收藏
页码：249 / 257
页数：9
相关论文
共 50 条
  • [41] ON PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY (ε, δ)-TRANS SASAKIAN MANIFOLD
    Jun, Jae-Bok
    Rahman, Shamsur
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (03): : 935 - 949
  • [42] A Study of Conformal η-Einstein Solitons on Trans-Sasakian 3-Manifold
    Li, Yanlin
    Mondal, Somnath
    Dey, Santu
    Bhattacharyya, Arindam
    Ali, Akram
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2023, 30 (02) : 428 - 454
  • [43] CONTACT CR-WARPED PRODUCT SUBMANIFOLDS OF NEARLY TRANS-SASAKIAN MANIFOLDS
    Mustafa, Abdulqader
    Uddin, Siraj
    Khan, Viqar Azam
    Wong, Bernardine R.
    TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (04): : 1473 - 1486
  • [44] On Warped Product Semi-Slant Submanifolds of Nearly Trans-Sasakian Manifolds
    Ali, Akram
    Alkhaldi, Ali H.
    Ali, Rifaqat
    FILOMAT, 2018, 32 (17) : 5845 - 5856
  • [45] Geometry of Bi-Warped Product Submanifolds of Nearly Trans-Sasakian Manifolds
    Alkhaldi, Ali H.
    Ali, Akram
    MATHEMATICS, 2021, 9 (08)
  • [46] Trans-Sasakian manifolds homothetic to Sasakian manifolds
    Desmukh, Sharief
    De, Uday Chand
    Al-Solamy, Falleh
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2016, 88 (3-4): : 439 - 448
  • [47] Trans-Sasakian Manifolds Homothetic to Sasakian Manifolds
    Sharief Deshmukh
    Mediterranean Journal of Mathematics, 2016, 13 : 2951 - 2958
  • [48] ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY TRANS-SASAKIAN MANIFOLD ADMITTING A SEMI-SYMMETRIC SEMI-METRIC CONNECTION
    Das, Lovejoy S.
    Ahmad, Mobin
    Siddiqi, M. Danish
    Haseeb, A.
    DEMONSTRATIO MATHEMATICA, 2013, 46 (02) : 345 - 359
  • [49] Trans-Sasakian Manifolds Homothetic to Sasakian Manifolds
    Deshmukh, Sharief
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 2951 - 2958
  • [50] Submanifolds of a Conformal Sasakian Manifold
    Abedi, Esmaiel
    Ilmakchi, Mohammad
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (01): : 23 - 34
12345