Hits:

Indexed by:期刊论文

Date of Publication:2012-01-01

Journal:Archivum Mathematicum

Included Journals:Scopus

Volume:48

Issue:3

Page Number:163-172

ISSN No.:00448753

Abstract:A new class of (n + 1)-dimensional Lorentz spaces of index 1 is introduced which satisfes some geometric conditions and can be regarded as a generalization of Lorentz space form. Then, the compact space-like hypersurface with constant scalar curvature of this spaces is investigated and a gap theorem for the hypersurface is obtained.