DOI QR코드

DOI QR Code

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)
  • 투고 : 2019.03.16
  • 심사 : 2021.07.23
  • 발행 : 2021.09.30

초록

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.

키워드

과제정보

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11761061, 11261051).

참고문헌

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