Characterizations of Null Holomorphic Sectional Curvature of <em>GCR</em>-Lightlike Submanifolds of Indefinite Nearly Kähler Manifolds

Characterizations of Null Holomorphic Sectional Curvature of <em>GCR</em>-Lightlike Submanifolds of Indefinite Nearly Kähler Manifolds

Year:    2016

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 2 : pp. 122–134

Abstract

We obtain the expressions for sectional curvature, holomorphic sectional curvature and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite nearly Kähler manifold and obtain characterization theorems for holomorphic sectional and holomorphic bisectional curvature. We also establish a condition for a GCR-lightlike submanifold of an indefinite complex space form to be a null holomorphically flat.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2016.v32.n2.2

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 2 : pp. 122–134

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Indefinite nearly Kähler manifold GCR-lightlike submanifold holomorphic sectional curvature holomorphic bisectional curvature.