ON SOME SPECIAL CLASSES OF KENMOTSU MANIFOLDS
SCIE
SCOPUS
- Title
- ON SOME SPECIAL CLASSES OF KENMOTSU MANIFOLDS
- Authors
- Hong, SP; Ozgur, C; Tripathi, MM
- Date Issued
- 2006-12
- Publisher
- ACADEMIC PUBLICATION COUNCIL
- Abstract
- We investigate the classes of Kenmotsu manifolds which satisfy the condition of being eta-Einstein, having eta-parallel Ricci tensor, R(xi, X) (.) Z = 0, R(xi, X) (.) R = 0, Z(xi, X) (.) Z = 0, Z(xi, X) (.) R = 0, Z(xi, X) (.) S = 0 or being Ricci-pseudosymmetric, where R, Z and S denote the curvature tensor, the concircular curvature tensor and the Ricci tensor, respectively. We also prove that a transformation in a Kenmotsu manifold under certain conditions is an isometry.
- Keywords
- Kenmotsu manifold; eta-parallel Ricci tensor; concircular curvature tensor; eta-Einstein manifold and Ricci-pseudosymmetric manifold
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29572
- ISSN
- 1024-8684
- Article Type
- Article
- Citation
- KUWAIT JOURNAL OF SCIENCE & ENGINEERING, vol. 33, no. 2, page. 19 - 32, 2006-12
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