Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2012-01-01

Journal: Archivum Mathematicum

Included Journals: Scopus

Volume: 48

Issue: 3

Page Number: 163-172

ISSN: 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.