NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE TRANS-SASAKIAN MANIFOLDS WITH NON-METRIC 𝜃-CONNECTIONS

Title & Authors
NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE TRANS-SASAKIAN MANIFOLDS WITH NON-METRIC 𝜃-CONNECTIONS
Jin, Dae Ho;

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