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Indexed by:期刊论文

Date of Publication:2017-01-01

Journal:QUAESTIONES MATHEMATICAE

Included Journals:SCIE、Scopus

Volume:40

Issue:7

Page Number:849-860

ISSN No.: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.