Hemi-Slant Lightlike Submanifolds of Indefinite Kenmotsu Manifolds. (13th September 2012)

• Record Type: Journal Article
• Authors: Haider, S. M. Khursheed; Thakur, Mamta; Advin,
• Other Names: Friedrich T. Academic Editor.; Khalkhali M. Academic Editor.
• Is Part Of: ISRN geometry. Volume 2012(2012)
• Publication Date: 2012-09-13
• Subjects: Geometry -- Periodicals; Topology -- Periodicals; Geometry; Topology; Periodicals; 516
• DOI: 10.5402/2012/251213
• Languages: English
• ISSNs: 2090-6307

Abstract

Abstract : We introduce and study hemi-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We give an example of hemi-slant lightlike submanifold and establish two characterization theorems for the existence of such submanifolds. We prove some theorems which ensure the existence of minimal hemi-slant lightlike submanifolds and obtain a condition under which the induced connection ∇ on M is a metric connection. An example of proper minimal hemi-slant lightlike submanifolds is also given.