LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD

descriptionPublicationkeyboard_double_arrow_right Article 30 Apr 2012 English Publisher:The Korean Mathematical SocietyJournal:Communications of the Korean Mathematical Society, volume 27, pages 307-315 (issn: 1225-1763,

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Authors: Jin, Dae Ho;

doi: 10.4134/ckms.2012.27.2.307

LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD

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Abstract

Summary: We study the geometry of real light-like hypersurfaces of an indefinite Kähler manifold \(\bar{M}\). We provide new results on such a real light-like hypersurface \(M\) by using the \(F\)-structure of \(M\) induced by the almost complex structure \(J\) of \(\bar{M}\).

Related Organizations

Dongguk University
Korea (Republic of)

Keywords

Local submanifolds, Local differential geometry of Lorentz metrics, indefinite metrics, Local differential geometry of Hermitian and Kählerian structures, indefinite complex space form, integrable distribution, totally umbilical

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