Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2015-01-01

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

Included Journals: Scopus、EI、SCIE

Volume: 77

Issue: 3

Page Number: 59-68

ISSN: 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].