Open Access
March 2003 Totally umbilical lightlike submanifolds
K. L. Duggal, D. H. Jin
Kodai Math. J. 26(1): 49-68 (March 2003). DOI: 10.2996/kmj/1050496648

Abstract

This paper provides new results on a class of totally umbilical lightlike submanifolds in semi-Riemannian manifolds of constant curvature. We prove that the induced Ricci tensor of any such submanifold is symmetric if and only if its screen distribution is integrable.

Citation

Download Citation

K. L. Duggal. D. H. Jin. "Totally umbilical lightlike submanifolds." Kodai Math. J. 26 (1) 49 - 68, March 2003. https://doi.org/10.2996/kmj/1050496648

Information

Published: March 2003
First available in Project Euclid: 16 April 2003

zbMATH: 1049.53011
MathSciNet: MR2003M:53118
Digital Object Identifier: 10.2996/kmj/1050496648

Rights: Copyright © 2003 Tokyo Institute of Technology, Department of Mathematics

Vol.26 • No. 1 • March 2003
Back to Top