Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 2

Pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds

Sayfa
1266–1277
DOI
—

Abstract

In this paper, we introduce the notion of pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D₁, D₂ and RadTM on pseudo-slant lightlike submanifolds of an indefinite Kaehler manifold have been obtained. We also obtain necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic. .