Author

# Halil İbrahim Yoldaş

Bio: Halil İbrahim Yoldaş is an academic researcher. The author has contributed to research in topics: Manifold (fluid mechanics) & Einstein. The author has an hindex of 2, co-authored 3 publications receiving 7 citations.

##### Papers

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01 Aug 2019

TL;DR: In this paper, a generic submanifold admitting a Ricci soliton in Sasakian manifold endowed with concurrent vector field was studied. But it was shown that there exists no concurrent vector fields on the invariant distribution of generic sub-manifolds.

Abstract: In the present paper, we deal with the generic submanifold admitting a Ricci soliton in Sasakian manifold endowed with concurrent vector field. Here, we find that there exists never any concurrent vector field on the invariant distribution D of generic submanifold M. Also, we provide a necessary and sufficient condition for which the invariant distribution D and anti-invariant distribution D^{⊥} of M are Einstein. Finally, we give a characterization for a generic submanifold of Sasakian manifold to be a gradient Ricci soliton.

6 citations

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02 Feb 2021

TL;DR: In this paper, the notion of torse-forming vector field on a manifold admits Ricci soliton and gives an example for this manifold, and the curvature conditions such as $Q\mathcal{M} = 0$ and $CQ=0$ on such a manifold are investigated.

Abstract: In the present paper, we deal with a Kenmotsu manifold $M$ Firstly, we study the notion of torse-forming vector field on such a manifold Then, we investigate some curvature conditions such as $Q\mathcal{M}=0$ and $CQ=0$ on such a manifold and obtain some necessary conditions for such a manifold given as to be Einstein and $\eta-$Einstein Also, we study a Kenmotsu manifold $M$ admitting a Ricci soliton and give an example for this manifold

3 citations

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TL;DR: In this article, the authors considered the Ricci soliton of both a Kenmotsu manifold and a torqued vector field and provided necessary conditions for which such a submanifold is an α-Einstein.

Abstract: In this paper, we consider the submanifold $M$ of a Kenmotsu manifold $\tilde M$ endowed with torqued vector field $\mathcal{T}$. Also, we study the submanifold $M$ admitting a Ricci soliton of both Kenmotsu manifold $\tilde M$ and Kenmotsu space form $\tilde M(c)$. Indeed, we provide some necessary conditions for which such a submanifold $M$ is an $\eta-$Einstein. We have presented some related results and have classified. Finally, we obtain an important characterization which classifies the submanifold $M$ admitting a Ricci soliton of Kenmotsu space form $\tilde M(c)$.

3 citations

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TL;DR: In this article , the authors investigate some soliton kinds with certain vector fields on Riemannian manifolds and give some notable geometric results as regards such vector fields, and give an example that supports one of their results.

Abstract: This paper mainly aims to investigate some soliton kinds with certain vector fields on Riemannian manifolds and gives some notable geometric results as regards such vector fields. Also, in this paper some special tensors that have an important place in Riemannian geometry are discussed and given some significant links between these tensors. Finally, an example that supports one of our results is given.

2 citations

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TL;DR: In this paper , the authors investigated the properties of a 3-dimensional Kenmotsu manifold satisfying certain curvature conditions endowed with Ricci solitons and showed that such a manifold is φ-Einstein.

Abstract: The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with 🟉-η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study the notion of 🟉-η-Ricci soliton on this manifold and prove some significant results related to this notion. Finally, we construct a nontrivial example of three-dimensional Kenmotsu manifolds to verify some of our results.

1 citations

##### Cited by

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TL;DR: In this paper , the authors derived the necessary conditions of a CR-warped product submanifolds in Ka-hler manifold to be an Einstein manifold in the impact of gradient Ricci soliton.

Abstract: In this article, we derived an equality for CR-warped product in a complex space form which forms the relationship between the gradient and Laplacian of the warping function and second fundamental form. We derived the necessary conditions of a CR-warped product submanifolds in Ka¨hler manifold to be an Einstein manifold in the impact of gradient Ricci soliton. Some classification of CR-warped product submanifolds in the Ka¨hler manifold by using the Euler–Lagrange equation, Dirichlet energy and Hamiltonian is given. We also derive some characterizations of Einstein warped product manifolds under the impact of Ricci Curvature and Divergence of Hessian tensor.

10 citations

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01 Oct 2018TL;DR: In this paper, the Riemannian manifolds whose metric is Yamabe soliton with potential vector field as torse forming admitting RiemANNIAN connection, semisymmetric metric connection, and projective semisymmetric connection have been studied.

Abstract: The Riemannian manifolds whose metric is Yamabe soliton with potential vector field as torse forming admitting Riemannian connection, semisymmetric metric connection and projective semisymmetric connection have been studied. An example is constructed to verify the theorem concerning Riemannian connection.

3 citations

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02 Feb 2021

TL;DR: In this paper, the notion of torse-forming vector field on a manifold admits Ricci soliton and gives an example for this manifold, and the curvature conditions such as $Q\mathcal{M} = 0$ and $CQ=0$ on such a manifold are investigated.

Abstract: In the present paper, we deal with a Kenmotsu manifold $M$ Firstly, we study the notion of torse-forming vector field on such a manifold Then, we investigate some curvature conditions such as $Q\mathcal{M}=0$ and $CQ=0$ on such a manifold and obtain some necessary conditions for such a manifold given as to be Einstein and $\eta-$Einstein Also, we study a Kenmotsu manifold $M$ admitting a Ricci soliton and give an example for this manifold

3 citations

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TL;DR: In this article, the authors considered the Ricci soliton of both a Kenmotsu manifold and a torqued vector field and provided necessary conditions for which such a submanifold is an α-Einstein.

Abstract: In this paper, we consider the submanifold $M$ of a Kenmotsu manifold $\tilde M$ endowed with torqued vector field $\mathcal{T}$. Also, we study the submanifold $M$ admitting a Ricci soliton of both Kenmotsu manifold $\tilde M$ and Kenmotsu space form $\tilde M(c)$. Indeed, we provide some necessary conditions for which such a submanifold $M$ is an $\eta-$Einstein. We have presented some related results and have classified. Finally, we obtain an important characterization which classifies the submanifold $M$ admitting a Ricci soliton of Kenmotsu space form $\tilde M(c)$.

3 citations