International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2570

Full Length Research Paper

Some classifications on Kenmotsu manifolds

Saadet DOÄžAN
  • Saadet DOÄžAN
  • Department of Mathematics 44069, Faculty of Arts and Science, Inonu University, Malatya/Turkey.
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Müge KARADAĞ
  • Müge KARADAÄž
  • Department of Mathematics 44069, Faculty of Arts and Science, Inonu University, Malatya/Turkey.
  • Google Scholar


  •  Received: 01 July 2014
  •  Accepted: 04 August 2014
  •  Published: 16 August 2014

Abstract

In this paper, we investigate some curvature problems of Kenmotsu manifolds satisfying some certain conditions and we reach some classicifications. We consider -recurrent Kenmotsu manifolds and we show that -recurrent Kenmotsu manifolds are also -Einstein manifolds. Next, we study  -Ricci symmetric Kenmotsu manifolds and we find this manifolds are Einstein manifolds too. In addition, we examine locally -symmetric -Kenmotsu manifolds. Later we investigate this type manifold with quasi-conformally curvature tensor and concircular curvature tensor. In addition to these, we construct an example of Kenmotsu manifolds and we see that this example is a locally symmetric Kenmotsu manifold.

 

Key words: Kenmotsu manifold, -recurrent, -Ricci symmetric, locally -symmetric, concircular curvature tensor, quasi-conformally curvature tensor, -Einstein manifolds, Einstein manifolds.