Abstract
Let $(\overline{M},\overline{g})$ be a semi-Riemannain manifold and (M, g, S (TM), S (TM⊥)) be its lightlike submanifold. We show that if $\overline{M}$ satisfies the axiom of r-planes & spheres then it is a real space form.
Citation
Rakesh Kumar. Rachna Rani. R. K. Nagaich. "The axiom of spheres in semi-Riemannian geometry with lightlike submanifolds." Kodai Math. J. 32 (1) 52 - 58, March 2009. https://doi.org/10.2996/kmj/1238594545
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