On existence of canonical screens for coisotropic submanifolds

Year 2008, Volume: 1 Issue: 1, 25 - 32, 30.04.2008

Krishan L. Duggal

Abstract

In this paper we study coisotropic lightlike submanifolds of a semi-Riemannian manifold. For a large variety of this class of submanifolds, we
prove two theorems on the existence of integrable canonical screen distribution
and canonical null transversal bundle subject to some reasonable geometric
conditions.

Keywords

coisotropic submanifold, canonical screen distribution, screen transformation equations, null transversal bundle

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