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Ricci almost solitons and contact geometry

Advances in Geometry, 2019
Abstract We prove that on a K-contact manifold, a Ricci almost soliton is a Ricci soliton if and only if the potential vector field V is a Jacobi field along the Reeb vector field ξ. Then we study contact metric as a Ricci almost soliton with parallel Ricci tensor.
Amalendu Ghosh
openaire   +3 more sources

Ricci almost solitons with associated projective vector field

Advances in Geometry, 2022
A Ricci almost soliton whose associated vector field is projective is shown to have vanishing Cotton tensor, divergence-free Bach tensor and Ricci tensor as conformal Killing.
Ramesh Sharma, Sharief Deshmukh
semanticscholar   +1 more source

Conformal η-Ricci almost solitons of Kenmotsu manifolds

International Journal of Geometric Methods in Modern Physics (IJGMMP), 2022
The aim of this paper is to find some important classes of Einstein manifolds using conformal [Formula: see text]-Ricci solitons and conformal [Formula: see text]-Ricci almost solitons.
S. Dey, S. Uddin
semanticscholar   +1 more source

A note on almost Ricci solitons

Analysis and Mathematical Physics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sharief Deshmukh, Hana Al-Sodais
openaire   +2 more sources

Certain results on gradient almost η-Ricci-Bourguignon soliton

Quaestiones Mathematicae. Journal of the South African Mathematical Society, 2023
The present research article deals with the study of almost η-Ricci-Bourguignon soliton and gradient almost η-Ricci-Bourguignon soliton on almost Kenmotsu manifolds.
S. Dey
semanticscholar   +1 more source

K-Contact and Sasakian metrics as Ricci almost solitons

, 2021
We show that the scalar curvature of a K-contact Ricci soliton is constant and satisfies sharp bounds.
Amalendu Ghosh, Ramesh Sharma
semanticscholar   +1 more source

$K$-Ricci-Bourguignon Almost Solitons

International Electronic Journal of Geometry
We in this current article introduce and characterize a $K$-Ricci-Bourguignon almost solitons in perfect fluid spacetimes and generalized Robertson-Walker spacetimes. First, we demonstrate that if a perfect fluid spacetime admits a $K$-Ricci-Bourguignon almost soliton, then the integral curves produced by the velocity vector field are geodesics and the
U.c. De, Krishnendu De
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η-Ricci solitons and almost η-Ricci solitons on para-Sasakian manifolds

International Journal of Geometric Methods in Modern Physics, 2019
In this paper, we study para-Sasakian manifold [Formula: see text] whose metric [Formula: see text] is an [Formula: see text]-Ricci soliton [Formula: see text] and almost [Formula: see text]-Ricci soliton. We prove that, if [Formula: see text] is an [Formula: see text]-Ricci soliton, then either [Formula: see text] is Einstein and in such a case the ...
Naik, Devaraja Mallesha, Venkatesha, V.
openaire   +1 more source

Some results on almost ⁎-Ricci-Bourguignon solitons

Journal of Geometry and Physics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shubham Dwivedi, Dhriti Sundar Patra
openaire   +1 more source

Introduction to gradient h-almost η-Ricci soliton warped product

Boletim da Sociedade Paranaense de Matemática
In this paper, we introduce the new concept of gradient h-almost η-Ricci soliton. We discuss here a steady or  expanding gradient h-almost η-Ricci soliton warped product Bn ×f Fm, m 1.
Nandan Bhunia   +3 more
semanticscholar   +1 more source

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