20 citations · 20 across the 5 of their papers we have counts for
6 papers · 1 filter
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds
Vladimir Rovenski, Dhriti Sundar Patra
We introduce new metric structures on a smooth manifold (called "weak" structures) that generalize the almost contact, Sasakian, cosymplectic, etc. metric structures an…
Geometry of almost contact metrics as almost -Ricci solitons
Dhriti Sundar Patra, Akram Ali, Fatemah Mofarreh
In the present paper, we give some characterizations by considering -Ricci soliton as a Kenmotsu metric. We prove that if a Kenmotsu manifold represents an almost -Ricci soli…
On non-gradient -quasi-Einstein contact metric manifolds
Dhriti Sundar Patra, Vladimir Rovenski
Many authors have studied Ricci solitons and their analogs within the framework of (almost) contact geometry. In this article, we thoroughly study the -quasi-Einstein struct…
Almost -Ricci solitons on Kenmotsu manifolds
Dhriti Sundar Patra, Vladimir Rovenski
In this paper we characterize the Einstein metrics in such broader classes of metrics as almost -Ricci solitons and -Ricci solitons on Kenmotsu manifolds, and generalize some…
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…
The Critical Point Equation And Contact Geometry
Amalendu Ghosh, Dhriti Sundar Patra
In this paper, we consider the CPE conjecture in the frame-work of -contact and -contact manifolds. First, we prove that if a complete -contact metric satisfies the C…