Nonexistence of Totally Contact Umbilical Slant Lightlike Submanifolds of Indefinite Cosymplectic Manifolds. (3rd June 2013)

• Record Type: Journal Article
• Authors: Sachdeva, Rashmi; Kumar, Rakesh; Bhatia, Satvinder Singh
• Other Names: Fino A. Academic Editor.; Qu C. Academic Editor.; Saidi E. H. Academic Editor.
• Is Part Of: ISRN geometry. Volume 2013(2013)
• Publication Date: 2013-06-03
• Subjects: Geometry -- Periodicals; Topology -- Periodicals; Geometry; Topology; Periodicals; 516
• DOI: 10.1155/2013/231869
• Languages: English
• ISSNs: 2090-6307

Abstract

Abstract : We study totally contact umbilical slant lightlike submanifolds of indefinite cosymplectic manifolds. We prove that there do not exist totally contact umbilical proper slant lightlike submanifolds in indefinite cosymplectic manifolds other than totally contact geodesic proper slant lightlike submanifolds. We also prove that there do not exist totally contact umbilical proper slant lightlike submanifolds of indefinite cosymplectic space forms. Finally we give characterization theorems on minimal slant lightlike submanifolds.