DISTINGUISHED NORMALIZATION ON NON-MINIMAL NULL HYPERSURFACES

Year 2013, Volume: 1 Issue: 1, 18 - 35, 01.06.2013

Cyriaque Atındogbe , Lionel Berardbergery

Abstract

We show that on a non-minimal lightlike hypersurface with nullity
degree 1, there exists a unique null transversal (normalizing) vector eld with
prescribed calibrated divergence, for which the induced connection and the LeviCivita
connection of the associate non-degenerate metric coincide.

Keywords

Lightlike hypersurface, normalization, associate metric, invariant normalizing di erential equation

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