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Maximal Hypersurfaces of (m+2)-Dimensional Lorentzian Space Forms

Uur Dursun
경북대학교 자연과학대학 수학과|2008.03|Kyungpook Mathematical Journal|제48권 제1호|pp. 109-121

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참고문헌

키워드

mean curvatureMaximal hypersurfacespace-like submanifoldLorentzian space form.
주제분류수학

초록

We determine maximal space-like hypersurfaces which are the images of subbundles of the normal bundle of m-dimensional totally geodesic space-like submanifolds of an (m+ 2)-dimensional Lorentzian space form M₁^m+2 (c) under the normal exponential map. Then we construct examples of maximal space-like hypersurfaces of M₁^m+2 (c).

Abstract

We determine maximal space-like hypersurfaces which are the images of subbundles of the normal bundle of m-dimensional totally geodesic space-like submanifolds of an (m+ 2)-dimensional Lorentzian space form M₁^m+2 (c) under the normal exponential map. Then we construct examples of maximal space-like hypersurfaces of M₁^m+2 (c).

참고문헌 (18)

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