Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-01-01

Journal: FILOMAT

Included Journals: SCIE

Volume: 28

Issue: 4

Page Number: 839-847

ISSN: 0354-5180

Key Words: Almost Kenmotsu manifold; Second order parallel tensor; Nullity distribution

Abstract: In this paper, we prove that if there exists a second order symmetric parallel tensor on an almost Kenmotsu manifold (M2n+1, phi, xi, eta, g) whose characteristic vector field xi belongs to the (k, mu)'-nullity distribution, then either M2n+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, or the second order parallel tensor is a constant multiple of the associated metric tensor of M2n+1. Furthermore, some properties of an almost Kenmotsu manifold admitting a second order parallel tensor with xi belonging to the (k, mu)-nullity distribution are also obtained.