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http://dx.doi.org/10.4134/JKMS.2005.42.3.435

ON KENMOTSU MANIFOLDS  

JUN JAE-BOK (Department of Mathematics College of Natural Science Kookmin University)
DE UDAY CHAND (Department of Mathematics University of Kalyani)
PATHAK GOUTAM (Department of Mathematics University of Kalyani)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 435-445 More about this Journal
Abstract
The purpose of this paper is to study a Kenmotsu manifold which is derived from the almost contact Riemannian manifold with some special conditions. In general, we have some relations about semi-symmetric, Ricci semi-symmetric or Weyl semisymmetric conditions in Riemannian manifolds. In this paper, we partially classify the Kenmotsu manifold and consider the manifold admitting a transformation which keeps Riemannian curvature tensor and Ricci tensor invariant.
Keywords
Ricci semi-symmetric Kenmotsu manifold; Weyl semisymmetric Kenmotsu manifold; $\eta$-Einstein manifold; $\eta$-parallel Ricci tensor;
Citations & Related Records

Times Cited By Web Of Science : 6  (Related Records In Web of Science)
Times Cited By SCOPUS : 8
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