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Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions

Tom 112 / 2014

Yaning Wang, Ximin Liu Annales Polonici Mathematici 112 (2014), 37-46 MSC: Primary 53C15; Secondary 53C25, 53D15. DOI: 10.4064/ap112-1-3

Streszczenie

We consider an almost Kenmotsu manifold with the characteristic vector field \xi belonging to the (k,\mu )'-nullity distribution and h'\not =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 \xi -Riemannian-semisymmetric. Moreover, if M^{2n+1} is a \xi -Riemannian-semisymmetric almost Kenmotsu manifold such that \xi belongs to the (k,\mu )-nullity distribution, we prove that M^{2n+1} is of constant sectional curvature -1.

Autorzy

  • Yaning WangCollege of Mathematics and Information Science
    Henan Normal University
    Xinxiang 453007, Henan, P.R. China
    e-mail
  • Ximin LiuSchool of Mathematical Sciences
    Dalian University of Technology
    Dalian 116024, Liaoning, P.R. China
    e-mail

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