38 citations · 123 across the 18 of their papers we have counts for
19 papers
Nature of Some Solitons on Almost coKähler Manifolds and Asymptotically Harmonic Manifolds
Paritosh Ghosh, Hemangi Madhusudan Shah, Arindam Bhattacharyya
In this research, we study the nature of -Einstein and gradient -Einstein soliton in the framework of almost coKähler manifolds and -almost coKähler manifolds. We fin…
Some Solitons on Homogeneous Almost -Cosymplectic -Manifolds and Harmonic Manifolds
Naeem Ahmad Pundeer, Paritosh Ghosh, Hemangi Madhusudan Shah +1
In this paper, we investigate the nature of Einstein solitons, whether it is steady, shrinking or expanding on almost -cosymplectic -manifolds. We also prove that a simply co…
Geometry of para-Sasakian metric as an almost conformal -Ricci soliton
Sumanjit Sarkar, Santu Dey, Arindam Bhattacharyya
In this paper, we initiate the study of conformal -Ricci soliton and almost conformal -Ricci soliton within the framework of para-Sasakian manifold. We prove that if para-Sas…
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…
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…
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…
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…
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…
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…
On the application of M-projective curvature tensor in general relativity
Kaushik Chattopadhyay, Arindam Bhattacharyya, Dipankar Debnath
In this paper the application of the -projective curvature tensor in the general theory of relativity has been studied. Firstly, we have proved that an -projectively flat qua…
A Study On Some Geometric Properties and Physical Applications of A Mixed Quasi-Einstein Spacetime
Kaushik Chattopadhyay, Arindam Bhattacharyya, Dipankar Debnath
In the present paper we discuss about a set of geometric properties and physical applications of a mixed quasi-Einstein spacetime, which is a special type of nearly qu…
Characteristics of conformal Ricci soliton on warped product spaces
Dipen Ganguly, Nirabhra Basu, Arindam Bhattacharyya
Conformal Ricci solitons are self similar solutions of the conformal Ricci flow equation. This paper deals with the study of conformal Ricci solitons within the framework of warped…
A Study On Some Geometric and Physical Properties of Hyper-Generalised Quasi-Einstein Spacetime
Kaushik Chattopadhyay, Arindam Bhattacharyya, Dipankar Debnath
In the present paper we discuss about a set of geometric and physical properties of hyper-generalised quasi-Einstein spacetime. At the beginning we discuss about pseudosymmetry ove…
A Kenmotsu metric as a conformal -Einstein soliton
Soumendu Roy, Santu Dey, Arindam Bhattacharyya
The object of the present paper is to study some properties of Kenmotsu manifold whose metric is conformal -Einstein soliton. We have studied some certain properties of Kenmotsu…
Conformal Einstein soliton within the framework of para-Khler manifold
Soumendu Roy, Santu Dey, Arindam Bhattacharyya
The object of the present paper is to study some properties of para-Khler manifold whose metric is conformal Einstein soliton. We have studied some certain curvature properties…
Some results on η-Yamabe Solitons in 3-dimensional trans-Sasakian manifold
Soumendu Roy, Santu Dey, Arindam Bhattacharyya
The object of the present paper is to study some properties of 3-dimensional trans-Sasakian manifold whose metric is η-Yamabe soliton. We have studied here some certain curvature c…
Yamabe Solitons on (LCS)-manifolds
Soumendu Roy, Santu Dey, Arindam Bhattacharyya
The object of the present paper is to study some properties of (LCS)-manifolds whose metric is Yamabe soliton. We establish some characterization of (LCS)-manifolds when th…
*-Conformal η-Ricci Soliton on Sasakian manifold
Soumendu Roy, Santu Dey, Arindam Bhattacharyya +1
In this paper we study *-Conformal η-Ricci soliton on Sasakian manifolds. Here, we discuss some curvature properties on Sasakian manifold admitting *-Conformal η-Ricci soliton. We…
The Critical Point Equation on Kenmotsu and almost Kenmotsu manifolds
Dhriti Sundar Patra, Amalendu Ghosh, Arindam Bhattacharyya
In this paper, we have studied the critical point equation (shortly, CPE) within the frame-work of Kenmotsu and almost Kenmotsu manifold satisfying certain nullity conditions. Firs…