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• # Artykuł - szczegóły

## Annales Polonici Mathematici

2014 | 112 | 1 | 37-46

## Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions

EN

### Abstrakty

EN
We consider an almost Kenmotsu manifold $M^{2n+1}$ with the characteristic vector field ξ belonging to the (k,μ)'-nullity distribution and h' ≠ 0 and we prove that $M^{2n+1}$ is locally isometric to the Riemannian product of an (n+1)-dimensional manifold of constant sectional curvature -4 and a flat n-dimensional manifold, provided that $M^{2n+1}$ is ξ-Riemannian-semisymmetric. Moreover, if $M^{2n+1}$ is a ξ-Riemannian-semisymmetric almost Kenmotsu manifold such that ξ belongs to the (k,μ)-nullity distribution, we prove that $M^{2n+1}$ is of constant sectional curvature -1.

37-46

wydano
2014

### Twórcy

autor
• College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan, P.R. China
autor
• School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, P.R. China