2016•International Journal of Geometric Methods in Modern PhysicsRequires access

Some characterization theorems on holomorphic sectional curvature of GCR-lightlike submanifolds

Varun Jain, Rachna Rani, Rakesh Kumar, R. K. Nagaich

Abstract

We obtain the expressions for sectional curvature, holomorphic sectional curvature and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Sasakian manifold and obtain some characterization theorems on holomorphic sectional and holomorphic bisectional curvature.

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Key concepts: Holomorphic function, Sectional curvature, Curvature, Submanifold, Pure mathematics, Mathematics, Characterization (materials science), Mathematical analysis