Open Access
October 2007 Semi-invariant lightlike submanifolds of a semi-Riemannian product manifold
Mehmet Atceken, Erol Kilic
Kodai Math. J. 30(3): 361-378 (October 2007). DOI: 10.2996/kmj/1193924940

Abstract

In this paper, we introduce a new class of lightlike submanifolds, namely, semi-invariant lightlike submanifolds of a semi-Riemannian product manifold. We investigate totally umbilical, curvature invariant lightlike submanifolds in real space forms M1(c1) × M2(c2) and discuss integrabilities of distributions on semi-Riemannian product manifold.

Citation

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Mehmet Atceken. Erol Kilic. "Semi-invariant lightlike submanifolds of a semi-Riemannian product manifold." Kodai Math. J. 30 (3) 361 - 378, October 2007. https://doi.org/10.2996/kmj/1193924940

Information

Published: October 2007
First available in Project Euclid: 1 November 2007

zbMATH: 1144.53065
MathSciNet: MR2372124
Digital Object Identifier: 10.2996/kmj/1193924940

Rights: Copyright © 2007 Tokyo Institute of Technology, Department of Mathematics

Vol.30 • No. 3 • October 2007
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