Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-01-01

Journal: TURKISH JOURNAL OF MATHEMATICS

Included Journals: SCIE

Volume: 40

Issue: 6

Page Number: 1246-1257

ISSN: 1300-0098

Key Words: Warped product; monotonic function; complete spacelike hypersurface; r-th mean curvature

Abstract: In this paper, by applying the generalized Omori-Yau maximum principle for complete spacelike hypersurfaces in warped product spaces, we obtain the sign relationship between the derivative of warping function and support function. Afterwards, by using this result and imposing suitable restrictions on the higher order mean curvatures, we establish uniqueness results for the entire graph in a Riemannian warped product space, which has a strictly monotone warping function. Furthermore, applications to such a space are given.