Open AccessTotally Contact Umbilical Radical Transversal Lightlike Submanifolds Of An Almost Contact Manifold With B-Metric
Author(s) -
Anu Devgan,
R. K. Nagaich
Publication year - 2017
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v13i4.6234
Subject(s) - submanifold , transversal (combinatorics) , mathematics , connection (principal bundle) , pure mathematics , manifold (fluid mechanics) , metric (unit) , contact angle , totally geodesic , metric connection , mathematical analysis , topology (electrical circuits) , geometry , combinatorics , composite material , materials science , scalar curvature , curvature , mechanical engineering , operations management , fundamental theorem of riemannian geometry , engineering , economics
In the present paper, we study the geometry of totally contact umbilical radical transversal lightlike submanifolds and totally contact umbilical CR- submanifold of an indenite Sasaki-like almost contact manifold with B-metric. We nd the necessary and sucient condition for the characterization of the induced connection to be a metric connection. Finally, we have proved that for a totally contact umbilical CR-submanifold, totally contact umbilical radical transversal lightlike submanifold is a totally geodesic radical transversal lightlike submanifold.