Open AccessMathematics
K. L. Duggal, D. Jin
2003.3.1Kodai Mathematical Journal
tlooto Summary
New results on totally umbilical lightlike submanifolds in semi-Riemannian manifolds of constant curvature, proving the symmetric nature of induced Ricci tensor based on screen distribution integrability.
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 format
DUGGAL, K. L.; JIN, D. Totally umbilical lightlike submanifolds. Kodai Mathematical Journal, 2003, 26: 49–68.