Geometry of $\ast$-$k$-Ricci-Yamabe soliton and gradient $\ast$-$k$-Ricci-Yamabe soliton on Kenmotsu manifolds

Santu Dey; Pişcoran Laurian-ioan Laurian-ıoan; Soumendu Roy

Article Details

Geometry of $\ast$-$k$-Ricci-Yamabe soliton and gradient $\ast$-$k$-Ricci-Yamabe soliton on Kenmotsu manifolds

Authors:

Santu Dey | Pişcoran Laurian-ioan Laurian-ıoan | Soumendu Roy

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 4, pp.907-922

Document Type:

Article

Publication Date:

8/2023

Document Language:

English

Document ID (Org No.):

2001293858

pISSN:

2651-477X

Keywords:

Abstract:

 The goal of the current paper is to characterize the ast-k-Ricci-Yamabe soliton within the framework on Kenmotsu manifolds. Here, we have shown the nature of the soliton and found the scalar curvature when the manifold admits the ast-k-Ricci-Yamabe soliton on the Kenmotsu manifold. Next, we have evolved the characterization of the vector field when the manifold satisfies the ast-k-Ricci-Yamabe solitons. Also we have embellished some applications of vector field as torse-forming in terms of ast-k-Ricci-Yamabe soliton on Kenmotsu manifold. Then, we studied the gradient ast-k-Ricci-Yamabe soliton to yield the nature of the Riemannian curvature tensor. We have developed an example of a ast-k-Ricci-Yamabe soliton on a 5-dimensional Kenmotsu manifold to prove our findings.

 The goal of the current paper is to characterize the ast-k-Ricci-Yamabe soliton within the framework on Kenmotsu manifolds. Here, we have shown the nature of the soliton and found the scalar curvature when the manifold admits the ast-k-Ricci-Yamabe soliton on the Kenmotsu manifold. Next, we have evolved the characterization of the vector field when the manifold satisfies the ast-k-Ricci-Yamabe solitons. Also we have embellished some applications of vector field as torse-forming in terms of ast-k-Ricci-Yamabe soliton on Kenmotsu manifold. Then, we studied the gradient ast-k-Ricci-Yamabe soliton to yield the nature of the Riemannian curvature tensor. We have developed an example of a ast-k-Ricci-Yamabe soliton on a 5-dimensional Kenmotsu manifold to prove our findings.

 The goal of the current paper is to characterize the ast-k-Ricci-Yamabe soliton within the framework on Kenmotsu manifolds. Here, we have shown the nature of the soliton and found the scalar curvature when the manifold admits the ast-k-Ricci-Yamabe soliton on the Kenmotsu manifold. Next, we have evolved the characterization of the vector field when the manifold satisfies the ast-k-Ricci-Yamabe solitons. Also we have embellished some applications of vector field as torse-forming in terms of ast-k-Ricci-Yamabe soliton on Kenmotsu manifold. Then, we studied the gradient ast-k-Ricci-Yamabe soliton to yield the nature of the Riemannian curvature tensor. We have developed an example of a ast-k-Ricci-Yamabe soliton on a 5-dimensional Kenmotsu manifold to prove our findings.

 The goal of the current paper is to characterize the ast-k-Ricci-Yamabe soliton within the framework on Kenmotsu manifolds. Here, we have shown the nature of the soliton and found the scalar curvature when the manifold admits the ast-k-Ricci-Yamabe soliton on the Kenmotsu manifold. Next, we have evolved the characterization of the vector field when the manifold satisfies the ast-k-Ricci-Yamabe solitons. Also we have embellished some applications of vector field as torse-forming in terms of ast-k-Ricci-Yamabe soliton on Kenmotsu manifold. Then, we studied the gradient ast-k-Ricci-Yamabe soliton to yield the nature of the Riemannian curvature tensor. We have developed an example of a ast-k-Ricci-Yamabe soliton on a 5-dimensional Kenmotsu manifold to prove our findings.

Article Details

Geometry of $\ast$-$k$-Ricci-Yamabe soliton and gradient $\ast$-$k$-Ricci-Yamabe soliton on Kenmotsu manifolds

Authors:

Santu Dey | Pişcoran Laurian-ioan Laurian-ıoan | Soumendu Roy

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 4, pp.907-922

Document Type:

Article

Publication Date:

8/2023

Document Language:

English

Document ID (Org No.):

2001293858

pISSN:

2651-477X

Ricci-Yamabe soliton

*-k-Ricci-Yamabe soliton

gradient *-k-Ricci-Yamabe soliton

torse forming vector field

conformal Killing vector field

Kenmotsu manifold

Issues

Article Details

Geometry of $\ast$-$k$-Ricci-Yamabe soliton and gradient $\ast$-$k$-Ricci-Yamabe soliton on Kenmotsu manifolds

Authors: Santu Dey | Pişcoran Laurian-ioan Laurian-ıoan | Soumendu Roy

Publisher: Hacettepe University

Main Topics: Mathematical Sciences

Journal: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 4, pp.907-922

Document Type: Article

Publication Date: 8/2023

Document Language: English

Document ID (Org No.): 2001293858

pISSN: 2651-477X

Ricci-Yamabe soliton

*-k-Ricci-Yamabe soliton

gradient *-k-Ricci-Yamabe soliton

torse forming vector field

conformal Killing vector field

Kenmotsu manifold

Issues

Authors:

Santu Dey | Pişcoran Laurian-ioan Laurian-ıoan | Soumendu Roy

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 4, pp.907-922

Document Type:

Article

Publication Date:

8/2023

Document Language:

English

Document ID (Org No.):

2001293858

pISSN:

2651-477X