NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS ADMITTING NON-METRIC π-CONNECTIONS

Title & Authors
NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS ADMITTING NON-METRIC π-CONNECTIONS
Jin, Dae Ho;

Abstract
In this paper, we study two types 1-lightlike submanifolds M, so called lightlike hypersurface and half lightlike submanifold, of an indefinite Kaehler manifold $\small{\bar{M}}$ admitting non-metric $\small{{\pi}}$-connection. We prove that there exist no such two types 1-lightlike submanifolds of an indefinite Kaehler manifold $\small{\bar{M}}$ admitting non-metric $\small{{\pi}}$-connections.
Keywords
non-metric $\small{{\pi}}$-connection;lightlike hypersurface;half lightlike submanifold;
Language
English
Cited by
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