TY - JOUR
T1 - Characterizations of Null Holomorphic Sectional Curvature of <em>GCR</em>-Lightlike Submanifolds of Indefinite Nearly Kähler Manifolds
AU - R. Rani, S. Kumar, R. Kumar & R. K. Nagaich
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 - <p style="text-align: justify;">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.</p>