- Turkish Journal of Mathematics and Computer Science
- Vol: 15 Issue: 1
- On $(k,\\mu )$-Paracontact Manifold Satisfying Some Curvature Conditions
On $(k,\\mu )$-Paracontact Manifold Satisfying Some Curvature Conditions
Authors : Pakize UYGUN, Mehmet ATÇEKEN
Pages : 171-179
Doi:10.47000/tjmcs.1153650
View : 21 | Download : 29
Publication Date : 2023-06-30
Article Type : Research Article
Abstract :In this work, we studied the curvature tensors of (k,$\\mu$) satisfying the conditions $\\widetilde{Z}(\\xi ,\\alpha _{3})\\cdot P=0$, $\\widetilde{Z}(\\xi ,\\alpha _{3})\\cdot S=0$, $R(\\xi ,\\alpha _{3})\\cdot P=0$, $R(\\xi ,\\alpha _{3})\\cdot S=0$ and $P\\cdot C=0$. Besides this, we classify $(k,\\mu)$-paracontact manifolds. Also we researched conformally flat and $\\phi $-conformally flat a $(k,\\mu )-$paracontact metric manifolds.Keywords : $(k, \\mu)$-Paracontact manifold, Einstein manifold, Weyl projective curvature tensor, conformal curvature tensor, concircular curvature tensor