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Characterizations of Trivial Ricci Solitons

open access: yesAdvances in Mathematical Physics, 2020
Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton.
Sharief Deshmukh   +2 more
doaj   +4 more sources

A Note on Ricci Solitons [PDF]

open access: yesSymmetry, 2020
In this paper, we characterize trivial Ricci solitons. We observe the important role of the energy function f of a Ricci soliton (half the squared length of the potential vector field) in the charectrization of trivial Ricci solitons.
Hana Alsodais, Sharief Deshmukh
core   +2 more sources

On homogeneous Ricci solitons [PDF]

open access: yesThe Quarterly Journal of Mathematics, 2013
We study the evolution of homogeneous Ricci solitons under the bracket flow, a dynamical system on the space Graphic of all homogeneous spaces of dimension n with a q-dimensional isotropy, which is equivalent to the Ricci flow for homogeneous manifolds ...
Lafuente, Ramiro Augusto   +3 more
core   +8 more sources

η-Ricci Solitons on Sasakian 3-Manifolds

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip   +2 more
doaj   +3 more sources

Ricci solitons [PDF]

open access: yes, 2017
In differential geometry, Ricci solitons are known as Riemannian manifolds which are solutions of the Ricci flow equation. In this thesis, some properties of Ricci soliton manifolds are examined and it is shown that the compact almost Ricci solitons with ...
Açıkgöz Kaya, Dilek
core   +4 more sources

Sasakian Manifolds Admitting ∗-η-Ricci-Yamabe Solitons

open access: yesAdvances in Mathematical Physics, 2022
In this note, we characterize Sasakian manifolds endowed with ∗-η-Ricci-Yamabe solitons. Also, the existence of ∗-η-Ricci-Yamabe solitons in a 5-dimensional Sasakian manifold has been proved through a concrete example.
Abdul Haseeb   +2 more
doaj   +2 more sources

η-Ricci Solitons on Kenmotsu 3-Manifolds

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2018
In the present paper we study η-Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider η-Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor.
De Krishnendu, De Uday Chand
doaj   +2 more sources

On Ricci solitons in LP-Sasakian manifolds

open access: yesBibechana, 2020
In this paper we study Ricci solitons in Lorentzian para-Sasakian manifolds. It is proved that the Ricci soliton in a (2n+1)-dimensinal LP-Sasakian manifold is shrinking.
Riddhi Jung Shah
doaj   +5 more sources

η-Ricci solitons in Kenmotsu manifolds

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2019
The object of the present paper is to study generalized weakly symmetric and generalized weakly Ricci symmetric Kenmotsu manifolds whose metric tensor is η-Ricci soliton. The paper also aims to bring out curvature conditions for which η-Ricci solitons in
Baishya Kanak Kanti   +1 more
doaj   +2 more sources

Generalized Ricci Solitons [PDF]

open access: yesThe Journal of Geometric Analysis, 2015
56 ...
Nurowski, Paweł~, Randall, Matthew
openaire   +3 more sources

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