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ON COMPLETE TOTALLY UMBILICAL AND MAXIMAL SPACE-LIKE SURFACES IN PSEUDO-RIEMANNIAN MANIFOLDS.
- Source :
-
Miskolc Mathematical Notes . 2013, Vol. 14 Issue 2, p613-620. 8p. - Publication Year :
- 2013
-
Abstract
- Space-like surfaces with special second fundamental forms have been an important tool in the study of pseudo-Riemannian manifolds. This paper focuses on adapting some theorems of Riemannian geometry in the large to the study of geometry of space-like surfaces of pseudo-Riemannian manifolds, specifically, various comparison theorems that use sectional and Ricci curvatures. The purpose of this paper is to establish a global geometry of complete spacelike totally umbilical and maximal surfaces in pseudo-Riemannian manifolds. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 14
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 95739407
- Full Text :
- https://doi.org/10.18514/MMN.2013.923