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20182021
most citedConformal Yamabe soliton and -Yamabe soliton with torse forming potential vector field

8 citations · 12 across the 10 of their papers we have counts for

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14 papers

math.DG20213 cited

Ricci solitons and certain related metrics on 3-dimensional trans-Sasakian manifold

Sumanjit Sarkar, Santu Dey, Arindam Bhattacharyya

In this paper we study certain types of metrics such as Ricci soliton, -conformal Ricci soliton in 3-dimensional trans-Sasakian manifold. First we have shown that a 3-dimensiona…

math.GM2021

Some Types of Weakly Ricci Symmetric Riemannian Manifolds

Payel Karmakar, Arindam Bhattacharyya

In this paper we discuss when a quasi-conformally flat weakly Ricci symmetric manifold (of dimension greater than 3) becomes a manifold of hyper quasi-constant curvature, a quasi-E…

math.DG20218 cited

Conformal Yamabe soliton and -Yamabe soliton with torse forming potential vector field

Soumendu Roy, Santu Dey, Arindam Bhattacharyya

The goal of this paper is to study conformal Yamabe soliton and -Yamabe soliton, whose potential vector field is torse forming. Here, we have characterized conformal Yamabe soli…

math.DG2021

Geometrical structure in a perfect fluid spacetime with conformal Ricci-Yamabe soliton

Soumendu Roy, Santu Dey, Arindam Bhattacharyya

The present paper is to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field ξ in connection with conformal Ricci-Yamabe metric and con…

math.DG2021

Characteristics of almost conformal Ricci solitons on Sasakian manifold

Dipen Ganguly, Nirabhra Basu, Arindam Bhattacharyya

In this paper, we characterize the potential function of the almost conformal gradient Ricci soliton on a Sasakian manifold in terms of the non-dynamical scalar field and d…

math.DG2021

On trans-Sasakian -manifolds as -Einstein solitons

Dipen Ganguly, Santu Dey, Arindam Bhattacharyya

The present paper is to deliberate the class of -dimensional trans-Sasakian manifolds which admits -Einstein solitons. We have studied -Einstein solitons on -dimensiona…