Characterization of Holomorphic Bisectional Curvature of GCR -Lightlike Submanifolds

Sangeet Kumar, Rakesh Kumar and R. K. Nagaich

Advances in Mathematical Physics, 2012, vol. 2012, 1-18

Abstract:

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

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:356263

DOI: 10.1155/2012/356263

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