INTEGRABILITY OF DISTRIBUTIONS IN GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS

Rakesh Kumar; Sangeet Kumar; R. K. Nagaich

doi:10.4134/ckms.2012.27.3.591

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INTEGRABILITY OF DISTRIBUTIONS IN GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS

Rakesh Kumar Sangeet Kumar R. K. Nagaich

Year: 2012 Journal: Communications of the Korean Mathematical Society Vol: 27 (3)Pages: 591-602 Publisher: Korean Mathematical Society

DOI: 10.4134/ckms.2012.27.3.591

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Abstract

In present paper we establish conditions for the integrability of various distributions of GCR-lightlike submanifolds and obtain conditions for the distributions to define totally geodesic foliations in GCR-lightlike submanifolds.

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Mathematics Pure mathematics Mathematical analysis

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Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Point processes and geometric inequalities

Physical Sciences → Mathematics → Applied Mathematics

INTEGRABILITY OF DISTRIBUTIONS IN GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS

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