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Indexed by:期刊论文

Date of Publication:2009-06-01

Journal:JOURNAL OF GEOMETRY AND PHYSICS

Included Journals:SCIE、Scopus

Volume:59

Issue:6

Page Number:685-692

ISSN No.:0393-0440

Key Words:r-minimal hypersurface; Linearized operator L(r); Principal curvature

Abstract:In this paper, we investigate hypersurfaces with the vanishing (r + 1)th mean Curvature in space forms, which are called r-minimal. We give some characteristics of r-minimal hypersurfaces in space forms. In addition, we study r-minimal hypersurfaces with two distinct principal curvatures in space forms. (C) 2009 Elsevier B.V. All rights reserved.