Characterization of Hyperbolic Cylinders in a Lorentzian Space Form

We give a characterization of the n-dimensional (n ≥ 3) hyperbolic cylinders in a Lorentzian space form. We show that the hyperbolic cylinders are the only complete space-like hypersurfaces in an (n + 1)-dimensional Lorentzian space form M₁ⁿ⁺¹(c) with non-zero constant mean curvature H whose two dis...

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Bibliographic Details
Date:2012
Main Authors: Shu, Sh., Han, Annie Yi
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2012
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106709
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Characterization of Hyperbolic Cylinders in a Lorentzian Space Form / Sh. Shu , Annie Yi Han // Журнал математической физики, анализа, геометрии. — 2012. — Т. 8, № 1. — С. 79-89. — Бібліогр.: 18 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine