TY - JOUR T1 - Characterizations of Null Holomorphic Sectional Curvature of GCR-Lightlike Submanifolds of Indefinite Nearly Kähler Manifolds JO - Analysis in Theory and Applications VL - 2 SP - 122 EP - 134 PY - 2016 DA - 2016/04 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n2.2 UR - https://global-sci.org/intro/article_detail/ata/4659.html KW - Indefinite nearly Kähler manifold, GCR-lightlike submanifold, holomorphic sectional curvature, holomorphic bisectional curvature. AB -

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.