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On a Classification of Almost Kenmotsu Manifolds with Generalized (κ,μ)'-nullity Distribution.
- Source :
-
Kyungpook Mathematical Journal . 2018, Vol. 58 Issue 1, p137-148. 12p. - Publication Year :
- 2018
-
Abstract
- In the present paper we prove that in an almost Kenmotsu manifold with generalized (κ,μ)'-nullity distribution the three conditions: (i) the Ricci tensor of M2n+1 is of Codazzi type, (ii) the manifold M2n+1 satisfies div C = 0, (iii) the manifold M2n+1 is locally isometric to Hn+1(-4) x Rn, are equivalent. Also we prove that if the manifold satisfies the cyclic parallel Ricci tensor, then the manifold is locally isometric to Hn+1(-4) x Rn. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 12256951
- Volume :
- 58
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Kyungpook Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 129456311
- Full Text :
- https://doi.org/10.5666/KMJ.2018.58.1.137