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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Natural Sciences |
Authors | |
Publication Date | September 30, 2022 |
Submission Date | April 25, 2022 |
Acceptance Date | August 1, 2022 |
Published in Issue | Year 2022 |