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Date:2019-03-11

Indexed by:Journal Article

Date of Publication:2012-01-01

Journal:Journal of Geometry

Included Journals:Scopus

Volume:103

Issue:1

Page Number:177-190

ISSN:00472468

Abstract:Let M n be a spacelike linear Weingarten submanifold in a de Sitter space S p n+p(1) with R = aH + b, where R and H are the normalized scalar curvature and the length of the mean curvature vector respectively. In this paper, we give intrinsic and extrinsic conditions for M n to be totally umbilical, respectively. ? 2012 Springer Basel AG.