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Non-Kähler Expanding Ricci Solitons [PDF]

open access: yesInternational Mathematics Research Notices, 2009
18 pages, minor changes, final ...
Dancer, A, Wang, M
openaire   +2 more sources

Ricci solitons

open access: yes, 2017
English translation of "Solitony Ricciego" (Wiadomo ci Matematyczne 48, 2012, no. 1, pp. 1-32). Despite the general-sounding title, the text covers just a few narrow topics: Perelman's proof of the fact that compact Ricci solitons are of the gradient type, and a detailed unified description of Page's and Berard Bergery's Einstein manifolds on the one ...
Esteban Calviño-Louzao   +4 more
openaire   +3 more sources

On Gradient Ricci Solitons

open access: yesJournal of Geometric Analysis, 2011
to appear in J.
Munteanu, Ovidiu, Sesum, Natasa
openaire   +3 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   +1 more source

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   +3 more sources

η-Ricci soliton on η-Einstein-like LP-Sasakian manifolds

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2022
The object of the present article is to study the notion of η-Einstein-like LP-Sasakian manifolds admitting η-Ricci soliton. Furthermore, we study the η-Ricci soliton on LP-Sasakian manifolds when the potential vector field V is point-wise collinear.
Das Susanta   +2 more
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

On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton [PDF]

open access: yesMemoirs of the Scientific Sections of the Romanian Academy, 2019
The aim of this paper is to study the conditions under which a submanifold of a Ricci soliton is also a Ricci soliton or an almost Ricci soliton. We give here a classification for Ricci solitons and their submanifolds according to their expanding ...
Semsi Eken Meric, Erol Kilic
doaj  

Special Kähler–Ricci potentials and Ricci solitons [PDF]

open access: yesAnnals of Global Analysis and Geometry, 2008
On a manifold of dimension at least six, let $(g, )$ be a pair consisting of a K hler metric g which is locally K hler irreducible, and a nonconstant smooth function $ $. Off the zero set of $ $, if the metric $\hat{g}=g/ ^2$ is a gradient Ricci soliton which has soliton function $1/ $, we show that $\hat{g}$ is K hler with respect to another ...
openaire   +3 more sources

Steady Ricci solitons with horizontally ϵ-pinched Ricci curvature

open access: yesScience China Mathematics, 2020
Corollary 3.11 is ...
Deng, Yuxing, Zhu, Xiaohua
openaire   +2 more sources

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