Radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds

• Autorzy: Shukla, S. S. , Yadav, A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we study radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds giving some non-trivial examples of these submanifolds. Integrability conditions of distributions D and RadTM on radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds, have been obtained. We also study totally contact umbilical radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds.

Słowa kluczowe

PL

rozmaitość Riemanniana; rozmaitość Sasakiana; rozkład promieniowy; odwzorowanie Gaussa; odwzorowanie Weingartena; geometria różniczkowa

EN

semi-Riemannian manifold; degenerate metric; radial distribution; screen distribution; screen transversal vector bundle; lightlike transversal vector bundle; Gauss and Weingarten formulae

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 4
• Strony: 994--1011
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Shukla, S. S.

• Department of Mathematics, University of Allahabad, Allahabad-211002, India,

autor

Yadav, A.

• Department of Mathematics, University of Allahabad, Allahabad-211002, India,

Bibliografia

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