Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry

S Dey - International Journal of Geometric Methods in Modern …, 2023 - World Scientific
In this paper, we study conformal Ricci soliton and almost conformal Ricci soliton within the
framework of paracontact manifolds. Here, we have shown the characteristics of the soliton …

Certain results of κ-almost gradient Ricci-Bourguignon soliton on pseudo-Riemannian manifolds

S Dey - Journal of Geometry and Physics, 2023 - Elsevier
The prime object in this article is to study κ-almost Ricci-Bourguignon soliton and κ-almost
gradient Ricci-Bourguignon soliton within the framework of paracontact metric manifolds …

A Study of Conformal -Einstein Solitons on Trans-Sasakian 3-Manifold

Y Li, S Mondal, S Dey, A Bhattacharyya… - Journal of Nonlinear …, 2023 - Springer
We study conformal η-Einstein solitons on the framework of trans-Sasakian manifold in
dimension three. Existence of conformal η-Einstein solitons on trans-Sasakian manifold is …

--Ricci soliton and contact geometry

S Dey, S Sarkar, A Bhattacharyya - Ricerche di Matematica, 2024 - Springer
In the present paper, we initiate the study of∗-η-Ricci soliton within the framework of
Kenmotsu manifolds as a characterization of Einstein metrics. Here we display that a …

[HTML][HTML] Exploring Conformal Soliton Structures in Tangent Bundles with Ricci-Quarter Symmetric Metric Connections

Y Li, A Gezer, E Karakas - Mathematics, 2024 - mdpi.com
In this study, we investigate the tangent bundle TM of an n-dimensional (pseudo-)
Riemannian manifold M equipped with a Ricci-quarter symmetric metric connection∇˜. Our …

-η-Ricci Soliton and Gradient Almost -η-Ricci Soliton Within the Framework of Para-Kenmotsu Manifolds

S Dey, NB Turki - Frontiers in Physics, 2022 - frontiersin.org
The goal of the present study is to study the∗-η-Ricci soliton and gradient almost∗-η-Ricci
soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein …

A Kenmotsu Metric as a*-conformal Yamabe Soliton with Torse Forming Potential Vector Field

S Roy, A Bhattacharyya - Acta Mathematica Sinica, English Series, 2021 - Springer
The purpose of the present paper is to deliberate*-conformal Yamabe soliton, whose
potential vector field is torse-forming on Kenmotsu manifold. Here, we have shown the …

Characterization of almost*-conformal η-Ricci soliton on para-Kenmotsu manifolds

S Dey, S Uddin - Filomat, 2023 - doiserbia.nb.rs
The goal of this research paper is to deliberate*-conformal η-Ricci soliton and gradient
almost*-conformal η-Ricci soliton within the framework of para-Kenmotsu manifolds as a …

Characterization of general relativistic spacetime equipped with different types of solitons

S Dey, MA Khan, S Roy, P Zhao - International Journal of Geometric …, 2022 - World Scientific
The aim of this paper is to study certain types of metrics such as conformal η-Ricci soliton
and Yamabe soliton in general relativistic spacetime. Here, we have shown the nature of the …

CERTAIN RESULTS ON -RICCI SOLITIONS AND ALMOST -RICCI SOLITONS

S Dey, S Azami - Facta Universitatis, Series: Mathematics and …, 2022 - casopisi.junis.ni.ac.rs
We prove that if an η-Einstein para-Kenmotsu manifold admits an η-Ricci soliton then it is
Einstein. Next, we proved that a para-Kenmotsu metric as an η-Ricci soliton is Einstein if its …