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Some characterizations of Kenmotsu manifolds admitting a quarter-symmetric metric connection
U C DE, , K MANDAL
Published in Transilvania University of Brasov 1
2016
Volume: 9
   
Issue: 58
Pages: 39 - 52
Abstract
In this paper we study certain curvature properties of Kenmotsu manifolds with respect to the quarter-symmetric metric connection. First we investigate Weyl projective symmetric Kenmotsu manifolds with respect to the quarter-symmetric metric connection. Next, we study Kenmotsu manifolds satisfying the curvature condition P·S = 0, where P and S are the projective curvature tensor and Ricci tensor respectively with respect to the quartersymmetric metric connection. Further, we discuss about pseudoprojectively flat and φ-projectively semisymmetric Kenmotsu manifolds with respect to the quarter-symmetric metric connection. Finally, we give an example of a 5-dimensional Kenmotsu manifold admitting a quarter-symmetric metric connection for illustration. © 2016, Transilvania University of Brasov 1. All rights reserved.
About the journal
JournalBulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics
PublisherTransilvania University of Brasov 1
ISSN2065-2151
Open AccessNo