(k,μ)-Paracontact Manifolds and Their Curvature Classification

Cumhuriyet Science Journal

article

Pakize UYGUN¹ 

[1] TOKAT GAZİOSMANPAŞA ÜNİVERSİTESİ

关键词: (k;    μ)-Paracontact manifold;    η-Einstein manifold;    Riemannian curvature tensor.;   

DOI  :  10.17776/csj.1108962

学科分类：工程和技术（综合）

来源: Cumhuriyet University

【 摘 要 】

The aim of this paper is to study (k,μ)-Paracontact metric manifold. We introduce the curvature tensors of a (k,μ)-paracontact metric manifold satisfying the conditions R⋅P_*=0, R⋅L=0, R⋅W_1=0, R⋅W_0=0 and R⋅M=0. According to these cases, (k,μ)-paracontact manifolds have been characterized such as η-Einstein and Einstein. We get the necessary and sufficient conditions of a (k,μ)-paracontact metric manifold to be η-Einstein. Also, we consider new conclusions of a (k,μ)-paracontact metric manifold contribute to geometry. We think that some interesting results on a (k,μ)-paracontact metric manifold are obtained.

【 授权许可】

CC BY-NC-ND