Generalized Cauchy-Riemann screen pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds

被引:0
作者
Shukla, S. S. [1 ]
Kumar, Pawan [1 ]
机构
[1] Univ Allahabad, Dept Math, Prayagraj 211002, India
关键词
Radical distribution; screen distribution; pseudo-slant lightlike submanifolds; Gauss and Weingarten formulae;
D O I
10.1142/S1793557124500451
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper deals with the study of generalized Cauchy-Riemann screen pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds giving a characterization theorem with some nontrivial examples of such submanifolds. Integrability conditions of distributions D-1, D-2, D-1 ' and D-2 ' on GCR screen pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds have been obtained. Furthermore, we obtain necessary and sufficient conditions for foliations determined by the above distributions to be totally geodesic.
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页数:16
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共 24 条
  • [1] [Anonymous], 1996, Mathematics and Its Applications
  • [2] [Anonymous], 1996, Bull. Math. Soc. Sc. Math. Roum
  • [3] [Anonymous], 2003, Kodai Math J., DOI DOI 10.2996/KMJ/1050496648
  • [4] Bejan C. L., GLOBAL LIGHTLIKE MAN
  • [5] Blair D. E., 2002, KODAIMATH J, V203, P131
  • [6] Cabrerizo A., GLASG
  • [7] Semi-slant submanifolds of a Sasakian manifold
    Cabrerizo, JL
    Carriazo, A
    Fernández, LM
    Fernández, M
    [J]. GEOMETRIAE DEDICATA, 1999, 78 (02) : 183 - 199
  • [8] Chen B.Y., 1973, Geometry of Submanifolds
  • [9] SLANT IMMERSIONS
    CHEN, BY
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1990, 41 (01) : 135 - 147
  • [10] Duggal A., 1996, MATH ITS APPL, V364