On the conharmonic curvature tensor of Kenmotsu manifolds with generalized Tanaka-Webster connection

D. G. Prakasha, B. S. Hadimani

Research output: Contribution to journalArticle

Abstract

In this paper, we study a generalized Tanaka-Webster connection on a Kenmotsu manifold. We study the conharmonic curvature tensor with respect to the generalized Tanaka-Webster connection ∇ and also characterize conharmonically flat and locally ϕ-conharmonically symmetric Kenmotsu manifold with respect to the connection ∇. Besides these we also classify Kenmotsu manifolds which satisfy K · R = 0 and P · K = 0, where K and P are the conharmonic curvature tensor, the projective curvature tensor and Riemannian curvature tensor, respectively with respect to the connection ∇.

Original languageEnglish
Pages (from-to)491-503
Number of pages13
JournalMiskolc Mathematical Notes
Volume19
Issue number1
DOIs
Publication statusPublished - 01-01-2018
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Numerical Analysis
  • Discrete Mathematics and Combinatorics
  • Control and Optimization

Cite this

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On the conharmonic curvature tensor of Kenmotsu manifolds with generalized Tanaka-Webster connection. / Prakasha, D. G.; Hadimani, B. S.

In: Miskolc Mathematical Notes, Vol. 19, No. 1, 01.01.2018, p. 491-503.

Research output: Contribution to journalArticle

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