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Conformal Ricci Solitons and Related Integrability Conditions [PDF]

Advances in Geometry, 2016
Abstract We introduce, in the Riemannian setting, the notion of conformal Ricci soliton, which includes as particular cases Einstein manifolds, conformal Einstein manifolds and (generic and gradient) Ricci solitons. We provide necessary integrability conditions for the existence of these structures that also recover, in the corresponding
Paolo Mastrolia, Dario Daniele Monticelli, Marco Rigoli   +2 more
exaly   +6 more sources

Geometry of α-Cosymplectic Metric as ∗-Conformal η-Ricci–Yamabe Solitons Admitting Quarter-Symmetric Metric Connection

Symmetry, 2021
The outline of this research article is to initiate the development of a ∗-conformal η-Ricci–Yamabe soliton in α-Cosymplectic manifolds according to the quarter-symmetric metric connection.
Santu Dey, Yanlin Li, Soumendu Roy
exaly   +2 more sources

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EXISTENCE OF CONFORMAL RICCI SOLITON AND CHARACTERISTICS OF ALMOST CONFORMAL RICCI SOLITONS ON SASAKIAN MANIFOLD

Journal of Mathematical Sciences, 2023
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Ganguly, Dipen, Basu, Nirabhra, Bhattacharyya, Arindam   +2 more
openaire   +2 more sources

Kenmotsu Metric as Conformal $$\eta $$-Ricci Soliton

Mediterranean Journal of Mathematics, 2023
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Li, Yanlin, Ganguly, Dipen
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Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry

International Journal of Geometric Methods in Modern Physics, 2022
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 vector field and the nature of the manifold if para-Sasakian metric satisfies conformal Ricci soliton. We also demonstrate the feature of the soliton vector field V and
openaire   +1 more source

Conformal η-Ricci almost solitons of Kenmotsu manifolds

International Journal of Geometric Methods in Modern Physics, 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. We prove that a Kenmotsu metric as conformal [Formula: see text]-Ricci soliton is Einstein if it is [Formula: see text]-Einstein or the potential vector field [Formula:
Santu Dey, Siraj Uddin
openaire   +2 more sources

Conformal Vector Fields and Conformal Ricci Solitons on $$\alpha $$-Kenmotsu Manifolds

Mediterranean Journal of Mathematics, 2023
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Maria Falcitelli, Avijit Sarkar, Suparna Halder   +2 more
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Gradient Ricci Solitons Admitting a Closed Conformal Vector Field

Journal of Mathematical Analysis and Applications, 2017
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E Ribeiro
exaly   +3 more sources

Conformal Ricci Solitons on Vaidya Spacetime

General Relativity and Gravitation
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Zosangzuala Chhakchhuak
exaly   +3 more sources

Almost conformal Ricci solitons on \(f\)-Kenmotsu manifolds

2019
Summary: The object of the present paper is to study the \(\phi\)-Ricci symmetric, locally \(\phi\)-Ricci symmetric and cyclic Ricci parallel three-dimensional \(f\)-Kenmotsu manifold bearing the function \(f\) being constant. We have considered almost conformal Ricci soliton on the three-dimensional \(f\)-Kenmostu manifold and deduced the condition ...
Hui, Shyamal, Yadav, Sunil, Patra, Akshoy   +2 more
openaire   +2 more sources