Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions

• Autorzy: Yaning Wang , Ximin Liu
• Języki publikacji: 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.

Kategorie tematyczne

• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53D15: Almost contact and almost symplectic manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 112
• Numer: 1
• Strony: 37-46

Daty

wydano

2014

Twórcy

autor

Yaning Wang

• College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan, P.R. China

autor

Ximin Liu

• School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, P.R. China

Identyfikatory

DOI

10.4064/ap112-1-3