HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A LORENTZIAN SPACE FORM release_qxqjntdidvadra3d6fmnhdpeme

by S Shu, A Han

Released as a article-journal .

Volume 35 (2009)

Abstract

We give some characterizations of n dimensional (n ≥ 2) hyperbolic cylinder, spherical cylinder or Euclidean cylinder in a Lorentzian space form. We show that the hyperbolic cylinder, spherical cylinder or Euclidean cylinder is the only complete space-like hypersurface in an (n+1) dimensional Lorentzian space form M n+1 1 (c) with non-zero constant mean curvature and two distinct principal curvatures one of which is simple, if the norm square of the second fundamental form of M n satisfies some pinching conditions, respectively.
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