Some Curvature Tensor Relations on Nearly Cosymplectic Manifolds with Tanaka-Webster Connection

Ayar, Gülhan

doi:10.32323/ujma.1067101

Universal Journal of Mathematics and Applications

2022

DOI: 10.32323/ujma.1067101

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Some Curvature Tensor Relations on Nearly Cosymplectic Manifolds with Tanaka-Webster Connection

Gülhan Ayar

Abstract: In this article, some curvature properties with respect to Tanaka-Webster connection on nearly cosymplectic manifolds have been studied.

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Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms

Mert

Atçeken

2023

Communications in Advanced Mathematical Sciences

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In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according to the choice of some special curvature tensors such as Riemann, concircular, projective, $\mathcal{M-}$projective, $W_{1}$ and $W_{2}.$ Then, again according to the choice of the curvature tensor, necessary conditions are given for Lorentz Sasakian space form admits $\eta-$Ricci soliton to be Ricci semisymmetric. Then some characterizations are obtained and some classifications have made under the some conditions.

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Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms

Mert

Atçeken

2023

Communications in Advanced Mathematical Sciences

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Some Curvature Tensor Relations on Nearly Cosymplectic Manifolds with Tanaka-Webster Connection

Abstract: In this article, some curvature properties with respect to Tanaka-Webster connection on nearly cosymplectic manifolds have been studied.

Cited by 1 publication

References 16 publications

Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms

Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms

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