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http://dx.doi.org/10.4134/BKMS.b190289

COMPLETE SPACELIKE HYPERSURFACES WITH CMC IN LORENTZ EINSTEIN MANIFOLDS  

Liu, Jiancheng (Department of Mathematics Northwest Normal University)
Xie, Xun (Department of Mathematics Northwest Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.5, 2021 , pp. 1053-1068 More about this Journal
Abstract
We investigate the spacelike hypersurface Mn with constant mean curvature (CMC) in a Lorentz Einstein manifold Ln+11, which is supposed to obey some appropriate curvature constraints. Applying a suitable Simons type formula jointly with the well known generalized maximum principle of Omori-Yau, we obtain some rigidity classification theorems and pinching theorems of hypersurfaces.
Keywords
Lorentz Einstein manifold; rigidity theorem; spacelike hypersurface;
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