Integrability of the distributions of GCR-lightlike submanifolds of (ε)-Sasakian manifolds

Year 2020, Volume: 69 Issue: 1, 354 - 368, 30.06.2020

Ayşe Funda Saglamer Nesrin Çalışkan

https://doi.org/10.31801/cfsuasmas.469747

Abstract

We study GCR-lightlike submanifolds of (ε)-Sasakian manifolds and derived some important structural characteristics equations for further uses. We also obtain some necessary and sufficient conditions for the integrability of various distributions of GCR-lightlike submanifolds of (ε)-Sasakian manifolds.

Keywords

($\varepsilon$)-Sasakian manifold, lightlike submanifold, GCR-lightlike submanifold, degenerate metric

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