Results 41 to 50 of about 163,995 (245)

Geometric classifications of k-almost Ricci solitons admitting paracontact metrices

open access: yesOpen Mathematics, 2023
The prime objective of the approach is to give geometric classifications of kk-almost Ricci solitons associated with paracontact manifolds. Let M2n+1(φ,ξ,η,g){M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a paracontact metric manifold, and if a KK-paracontact
Li Yanlin   +4 more
doaj   +1 more source

Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons [PDF]

open access: yes, 2013
In this paper we consider connections between Ricci solitons and Einstein metrics on homogeneous spaces. We show that a semi-algebraic Ricci soliton admits an Einstein one-dimensional extension if the soliton derivation can be chosen to be normal.
He, Chenxu   +2 more
core   +1 more source

On Gradient Ricci Solitons

open access: yesJournal of Geometric Analysis, 2011
to appear in J.
Munteanu, Ovidiu, Sesum, Natasa
openaire   +3 more sources

Stability and instability of Ricci solitons [PDF]

open access: yes, 2014
We consider the volume-normalized Ricci flow close to compact shrinking Ricci solitons. We show that if a compact Ricci soliton $(M,g)$ is a local maximum of Perelman's shrinker entropy, any normalized Ricci flow starting close to it exists for all time ...
Kroencke, Klaus
core   +1 more source

On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms

open access: yesUniversal Journal of Mathematics and Applications, 2023
In this paper, we consider Lorentz generalized Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of \ Lorentz generalized Sasakian space forms admitting $\eta-$Ricci soliton have ...
Mehmet Atçeken, Tuğba Mert
doaj   +1 more source

Almost Pseudo Symmetric Kähler Manifolds Admitting Conformal Ricci-Yamabe Metric

open access: yesInternational Journal of Analysis and Applications, 2023
The novelty of the paper is to investigate the nature of conformal Ricci-Yamabe soliton on almost pseudo symmetric, almost pseudo Bochner symmetric, almost pseudo Ricci symmetric and almost pseudo Bochner Ricci symmetric Kähler manifolds.
Sunil Kumar Yadav   +2 more
doaj   +1 more source

Locally conformally flat ancient Ricci flows [PDF]

open access: yes, 2015
We show that any locally conformally flat ancient solution to the Ricci flow must be rotationally symmetric. As a by-product, we prove that any locally conformally flat Ricci soliton is a gradient soliton in the shrinking and steady cases as well as in ...
Catino, Giovanni   +2 more
core   +1 more source

Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric

open access: yesAdvances in Mathematical Physics, 2021
In the present paper, we investigate the nature of Ricci-Yamabe soliton on an imperfect fluid generalized Robertson-Walker spacetime with a torse-forming vector field ξ.
Ali H. Alkhaldi   +3 more
doaj   +1 more source

Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms

open access: yesCommunications in Advanced Mathematical Sciences, 2023
In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according ...
Mehmet Atçeken, Tuğba Mert
doaj   +1 more source

Back to Almost Ricci Solitons

open access: yesInternational Electronic Journal of Geometry, 2023
In the paper, we study complete almost Ricci solitons using the concepts and methods of geometric dynamics and geometric analysis. In particular, we characterize Einstein manifolds in the class of complete almost Ricci solitons. Then, we examine compact almost Ricci solitons using the orthogonal expansion of the Ricci tensor, this allows us to ...
Vladimir Rovenski   +2 more
openaire   +3 more sources

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