Open AccessSome properties of lightlike submanifolds of semi-Riemannian manifolds
Author(s) -
Rakesh Kumar,
Rachna Rani,
R. K. Nagaich
Publication year - 2010
Publication title -
demonstratio mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.541
H-Index - 28
eISSN - 2391-4661
pISSN - 0420-1213
DOI - 10.1515/dema-2013-0257
Subject(s) - submanifold , mathematics , pure mathematics , totally geodesic , geodesic , distribution (mathematics) , mathematical analysis
We initially obtain various relations and then establish necessary and sufficient condition for the integrability of screen distribution of a lightlike submanifold. We also establish necessary and sufficient condition for a lightlike submanifold to be totally geodesic.