A Note on Bernstein-type Results of Spacelike Hypersurfaces in Semi-riemannian Warped Products

نویسندگان

  • Yaning Wang
  • Ximin Liu
  • H. F. de Lima
چکیده

In this paper, making use of the well known generalized maximum principal according to Omori-Yau [20, 24] and considering the Laplacian of the integral of the warping function [4, 22], we prove some new Bernstein-type theorems concerning complete spacelike hypersurfaces immersed in semi-Riemannian warped products. Our main theorems extend the corresponding results proved by de Lima [13] and Aquino-de Lima [10].

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تاریخ انتشار 2015