A (k, μ)-Paracontact Metric Manifolds satisfying Curvature Conditions

  • Pakize Uygun Department of Mathematics, Faculty of Arts and Sciences, Aksaray University, 68100, Aksaray, Turkey
  • Mehmet Atçeken Department of Mathematics, Faculty of Arts and Sciences, Aksaray University, 68100, Aksaray, Turkey
Keywords: (k,μ)-paracontact manifold, η-Einstein manifold, quasi-conformal curvature tensor, Riemannian curvature tensor

Abstract

In the present paper, we have studied the curvature tensors of $(k,\mu)$-paracontact manifold satisfying the conditions $\widetilde{Z}\cdot \widetilde{C}=0$, \ $R\cdot \widetilde{C} =0 $, \ $P\cdot \widetilde{C}=0$ and $\widetilde{C}\cdot\widetilde{C}=0.$ According these cases, $(k,\mu)$-paracontact manifolds have been characterized.

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Published
2023-12-15
How to Cite
Uygun, P., & Atçeken, M. (2023). A (k, μ)-Paracontact Metric Manifolds satisfying Curvature Conditions. Earthline Journal of Mathematical Sciences, 14(2), 175-190. https://doi.org/10.34198/ejms.14224.175190
Section
Articles