INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS ADMITTING QUARTER SYMMETRIC METRIC CONNECTION

被引：0
|
作者：
Anitha, B. S. [1 ]
Bagewadi, C. S. [1 ]
机构：
[1] Dept Math, Shimoga 577451, Karnataka, India
来源：
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 4卷 / 03期
关键词：
Invariant submanifolds; Sasakian manifold; Quarter symmetric metric connection;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The object of this paper is to study invariant submanifolds M of Kenmotsu manifolds M admitting a quarter symmetric metric connection and to show that M admits quarter symmetric metric connection. Further it is proved that the second fundamental forms sigma and sigma-with respect to LeviCivita connection and quarter symmetric metric connection coincide. Also it is shown that if the second fundamental form sigma is recurrent, 2-recurrent, generalized 2-recurrent, semiparallel, pseudoparallel, Ricci-generalized pseudoparallel and M has parallel third fundamental form with respect to quarter symmetric metric connection, then M is totally geodesic with respect to Levi-Civita connection.
引用
收藏
页码：99 / 114
页数：16
相关论文
共 50 条
  • [1] CERTAIN CURVATURE CONDITIONS ON KENMOTSU MANIFOLDS ADMITTING A QUARTER-SYMMETRIC METRIC CONNECTION
    Zhao, Peibiao
    De, Uday Chand
    Mandal, Krishanu
    Han, Yanling
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2018, 104 (118): : 169 - 181
  • [2] Invariant Submanifolds of Sasakian Manifolds Admitting Semi-symmetric Metric Connection
    Anitha, B. S.
    Bagewadi, C. S.
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2013, 4 (01): : 29 - 38
  • [3] INVARIANT SUBMANIFOLDS OF (LCS)(n)-MANIFOLDS WITH RESPECT TO QUARTER SYMMETRIC METRIC CONNECTION
    Hui, S. K.
    Piscoran, L. -I.
    Pal, T.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2018, 87 (02): : 205 - 221
  • [4] ON f-KENMOTSU MANIFOLDS AND THEIR SUBMANIFOLDS WITH QUARTER SYMMETRIC METRIC CONNECTIONS
    Sarkar, Avijit
    Biswas, Nirmal
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2020, 35 (04): : 1017 - 1030
  • [5] On Three Dimensional Kenmotsu Manifolds admitting A quater symmetric metric connection
    De, Uday Chand
    De, Krishnendu
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2011, 1 (02): : 132 - 142
  • [6] ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD WITH A QUARTER SYMMETRIC NON-METRIC CONNECTION
    Ahmad, Mobin
    Jun, Jae-Bok
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2011, 18 (01): : 1 - 11
  • [7] SOME SYMMETRIC PROPERTIES OF KENMOTSU MANIFOLDS ADMITTING SEMI-SYMMETRIC METRIC CONNECTION
    Venkatesh, Venkatesha
    Arasaiah, Arasaiah
    Vasudeva, Vishnuvardhana Srivaishnava
    Thimmegowda, Naveen Kumar Rahuthanahalli
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2019, 34 (01): : 35 - 44
  • [8] ON phi-SYMMETRIC KENMOTSU MANIFOLDS WITH RESPECT TO QUARTER-SYMMETRIC METRIC CONNECTION
    Prakasha, D. G.
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2011, 4 (01): : 88 - 96
  • [9] On weak symmetries of Kenmotsu Manifolds with respect to quarter-symmetric metric connection
    Prakasha, D. G.
    Vikas, K.
    ANNALES MATHEMATICAE ET INFORMATICAE, 2015, 45 : 79 - 90
  • [10] SUBMANIFOLDS OF A RIEMANNIAN MANIFOLD ADMITTING A TYPE OF RICCI QUARTER-SYMMETRIC METRIC CONNECTION
    Mondal, Abul Kalam
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2018, 33 (04): : 577 - 586
12345