Another Class of Warped Product Skew CR-Submanifolds of Kenmotsu Manifolds

被引:6
|
作者
Hui, Shyamal Kumar [1 ]
Pal, Tanumoy [1 ]
Roy, Joydeb [1 ]
机构
[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India
关键词
Warped product; skew CR-submanifolds; Kenmotsu manifolds; PSEUDO-SLANT SUBMANIFOLDS; GEOMETRY;
D O I
10.2298/FIL1909583H
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Recently, Naghi et al. [32] studied warped product skew CR-submanifold of the form M-1 x(f) M-perpendicular to of order 1 of a Kenmotsu manifold (M) over bar such that M-1 = M-T x M-theta, where M-T, M-perpendicular to and M-theta are invariant, anti-invariant and proper slant submanifolds of (M) over bar. The present paper deals with the study of warped product submanifolds by interchanging the two factors M-T and M-perpendicular to, i.e, the warped products of the form M-2 x(f) M-T such that M-2 = M-perpendicular to x M-theta. The existence of such warped product is ensured by an example and then we characterize such warped product submanifold. A lower bound of the squared norm of second fundamental form is derived with sharp relation, whose equality case is also considered.
引用
收藏
页码:2583 / 2600
页数:18
相关论文
共 50 条
  • [31] Geometry of Warped Product CR-submanifolds in Kaehler Manifolds (vol 133, pg 177, 2001)
    Chen, Bang-Yen
    MONATSHEFTE FUR MATHEMATIK, 2018, 186 (03): : 559 - 560
  • [32] Geometry of warped product pseudo-slant submanifolds of Kenmotsu manifolds
    Al-Solamy, Falleh Rijaullah
    Naghi, Monia Fouad
    Uddin, Siraj
    QUAESTIONES MATHEMATICAE, 2019, 42 (03) : 373 - 389
  • [33] Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds
    Uddin, Siraj
    BULLETIN OF MATHEMATICAL SCIENCES, 2018, 8 (03) : 435 - 451
  • [34] Warped product pointwise bi-slant submanifolds of kenmotsu manifolds
    Hui, Shyamal Kumar
    Roy, Joydeb
    Pal, Tanumoy
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (10)
  • [35] Warped product submanifolds of a Kenmotsu manifold
    Uddin, Siraj
    Khan, Viqar Azam
    Khan, Khalid Ali
    TURKISH JOURNAL OF MATHEMATICS, 2012, 36 (02) : 319 - 330
  • [36] Contact CR-warped product submanifolds in Kenmotsu space forms
    Arslan, K
    Ezentas, R
    Mihai, I
    Murathan, C
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 42 (05) : 1101 - 1110
  • [37] CONTACT CR-WARPED PRODUCT SUBMANIFOLDS IN KENMOTSU SPACE FORMS
    Atceken, M.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2013, 39 (03) : 415 - 429
  • [38] CR-SUBMANIFOLDS OF LORENTZIAN MANIFOLDS
    Alegre, Pablo
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2009, 2 (01): : 95 - 103
  • [39] Generalized Inequalities of Warped Product Submanifolds of Nearly Kenmotsu f-Manifolds
    Balkan, Yavuz Selim
    Alkhaldi, Ali H.
    Siddiqui, Aliya Naaz
    Ali, Akram
    FILOMAT, 2019, 33 (19) : 6283 - 6296
  • [40] On warped product pointwise quasi bi-slant submanifolds of Kenmotsu manifolds
    Prince Majeed
    Mehraj Ahmad Lone
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2025, 71 (1)