TOTALLY AND C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN MANIFOLDS AND SASAKIAN SPACE FORMS

被引：0
|
作者：
Karmakar, Payel [1 ]
Bhattacharyya, Arindam [1 ]
机构：
[1] Jadavpur Univ, Dept Math, Kolkata 700032, India
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2022年 / 15卷 / 3B期
关键词：
Totally real submanifold; C-totally real submanifold; Sasakian manifold; Sasakian space form; quarter symmetric metric connection;
D O I：
10.47013/15.3.12
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we study totally real submanifolds of Sasakian manifolds. Also, we study totally and C-totally real submanifolds of Sasakian space forms with respect to Levi-Civita connection as well as quarter symmetric metric connection. We have obtained some results in this regard. Among these results, we have made an important deduction that the scalar curvatures of a C-totally real submanifold of a Sasakian space form with respect to both the aforesaid connections are the same.
引用
收藏
页码：575 / 589
页数：15
相关论文
共 50 条
  • [41] MULTIPLY WARPED PRODUCT SUBMANIFOLDS IN SASAKIAN SPACE FORMS
    Olteanu, Andreea
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2010, 3 (01): : 1 - 10
  • [42] EXPLICIT FORMULAS FOR BIHARMONIC SUBMANIFOLDS IN SASAKIAN SPACE FORMS
    Fetcu, Dorel
    Oniciuc, Cezar
    PACIFIC JOURNAL OF MATHEMATICS, 2009, 240 (01) : 85 - 107
  • [43] Stability of biharmonic, Legendrian submanifolds in Sasakian space forms
    Sasahara, Toru
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2008, 51 (03): : 448 - 459
  • [44] A class of biminimal Legendrian submanifolds in Sasakian space forms
    Sasahara, Toru
    MATHEMATISCHE NACHRICHTEN, 2014, 287 (01) : 79 - 90
  • [45] Totally Contact Umbilical Screen Transversal Lightlike Submanifolds of an Indefinite Sasakian Manifold
    Haider, S.
    Thakur, Mamta
    Advin
    NOTE DI MATEMATICA, 2012, 32 (02): : 123 - 134
  • [46] Rigidity results on totally real submanifolds in complex space forms
    Van Cuong, Dang
    Dung, Nguyen Thac
    Son, Nguyen Thi Kim
    KYOTO JOURNAL OF MATHEMATICS, 2024, 64 (02) : 261 - 276
  • [47] ξ⊥-submanifolds of para-Sasakian manifolds
    Yuksel Perktas, Selcen
    Tripathi, Mukut Mani
    Kilic, Erol
    Keles, Sadik
    TURKISH JOURNAL OF MATHEMATICS, 2014, 38 (05) : 905 - 919
  • [48] TOTALLY REAL SUBMANIFOLDS OF (LCS)(n)-MANIFOLDS
    Hui, Shyamal Kumar
    Pal, Tanumoy
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2018, 33 (02): : 141 - 152
  • [49] THEOREM ON C-TOTALLY REAL MINIMAL SURFACE
    YAMAGUCHI, S
    KON, M
    MIYAHARA, Y
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 54 (JAN) : 276 - 280
  • [50] A New Class of Slant Submanifolds in Generalized Sasakian Space Forms
    Alegre, Pablo
    Barrera, Joaquin
    Carriazo, Alfonso
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (03)
12345