Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2017-01-01

Journal: QUAESTIONES MATHEMATICAE

Included Journals: Scopus、SCIE

Volume: 40

Issue: 7

Page Number: 849-860

ISSN: 1607-3606

Key Words: Second order parallel tensor; paracontact metric (k, mu)-space; almost beta-para-Kenmotsu (k, mu)-space

Abstract: The object of the present paper is to study the symmetric and skew-symmetric properties of a second order parallel tensor on paracontact metric (k, mu)-spaces and almost -para-Kenmotsu (k, mu)-spaces. In this paper, we prove that if there exists a second order symmetric parallel tensor on a paracontact metric (k, mu)-space M, then either M is locally isometric to a product of a flat n + 1-dimensional manifold and an n-dimensional manifold of constant sectional curvature -4, or the second order parallel tensor is a constant multiple of the associated metric tensor g of M2n+1. If there is a second order parallel tensor on an almost -para-Kenmotsu (k, mu)-space with k 0, then it is a constant multiple of the associated metric tensor g of M2n+1.