On $(k,mu )$-Paracontact Manifold Satisfying Some Curvature Conditions

Authors : Pakize UYGUN, Mehmet ATÇEKEN

Pages : 171-179

Doi:10.47000/tjmcs.1153650

View : 58 | Download : 38

Publication Date : 2023-06-30

Article Type : Research Paper

Abstract :In this work, we studied the curvature tensors of insert ignore into journalissuearticles values(k,$\\mu$); satisfying the conditions $\\widetilde{Z}insert ignore into journalissuearticles values(\\xi ,\\alpha _{3});\\cdot P=0$, $\\widetilde{Z}insert ignore into journalissuearticles values(\\xi ,\\alpha _{3});\\cdot S=0$, $Rinsert ignore into journalissuearticles values(\\xi ,\\alpha _{3});\\cdot P=0$, $Rinsert ignore into journalissuearticles values(\\xi ,\\alpha _{3});\\cdot S=0$ and $P\\cdot C=0$. Besides this, we classify $insert ignore into journalissuearticles values(k,\\mu);$-paracontact manifolds. Also we researched conformally flat and $\\phi $-conformally flat a $insert ignore into journalissuearticles values(k,\\mu );-$paracontact metric manifolds.
Keywords : k, mu, Paracontact manifold, Einstein manifold, Weyl projective curvature tensor, conformal curvature tensor, concircular curvature tensor

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