Paritosh Ghosh

collaborators

5 papers

math.DG2025

Almost coKähler manifolds in the context of mixed Killing vector field

Paritosh Ghosh

A vector field $V$ on any (semi-)Riemannian manifold is said to be mixed Killing if for some nonzero smooth function $f$ , it satisfies $L_{V} L_{V} g = f L_{V} g$ , where $L_{V}$ is the Lie deriv…

math.DG2025

Some Characteristics of Almost $ω$ -Bach Solitons

Paritosh Ghosh, Hemangi Madhusudan Shah, Arindam Bhattacharyya

In this article, we introduce $ω$ -Bach tensor corresponding to one form $ω$ and correspondingly introduce almost $ω$ -Bach solitons, thereby generalizing the existing notion of Bach…

math.DG2023

Quasi-isometry between two almost contact metric manifolds

Arindam Bhattacharyya, Dipen Ganguly, Paritosh Ghosh +1

In this paper the notion of quasi-isometry between two Riemannian manifolds has been introduced. This idea is also imposed to study quasi-isometry between two almost contact metric…

math.DG2023

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 $η$ -Einstein and gradient $η$ -Einstein soliton in the framework of almost coKähler manifolds and $(κ, μ)$ -almost coKähler manifolds. We fin…

math.GM2023

Some Solitons on Homogeneous Almost $α$ -Cosymplectic $3$ -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 $α$ -cosymplectic $3$ -manifolds. We also prove that a simply co…