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Indexed by:期刊论文

Date of Publication:2015-01-01

Journal:UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS

Included Journals:SCIE、EI、Scopus

Volume:77

Issue:3

Page Number:59-68

ISSN No.:1223-7027

Key Words:Bernstein-type theorem; complete spacelike hypersurface; semi-Riemannian warped product; mean curvature

Abstract: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].