Results 11 to 20 of about 38,409 (231)
Degeneration of Shrinking Ricci Solitons [PDF]
International Mathematics Research Notices, 2010 Let $(Y,d)$ be a Gromov-Hausdorff limit of closed shrinking Ricci solitons with uniformly upper bounded diameter and lower bounded volume. We prove that off a closed subset of codimension at least 2, $Y$ is a smooth manifold satisfying a shrinking Ricci soliton equation.
Zuo‐Feng Zhang
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The curvature of gradient Ricci solitons [PDF]
Mathematical Research Letters, 2011 We study integral and pointwise bounds on the curvature of gradient shrinking Ricci solitons. As applications we discuss gap and compactness results for gradient shrinkers.
Ovidiu Munteanu, Mu‐Tao Wang
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A note on Kähler-Ricci soliton [PDF]
International Mathematics Research Notices, 2008 A lemma added; an error ...
Xiuxiong Chen, Song Sun, Gang Tian
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A Study on Contact Metric Manifolds Admitting a Type of Solitons
Journal of MathematicsThe principal aim of the present article is to characterize certain properties of η-Ricci–Bourguignon solitons on three types of contact manifolds, that are K-contact manifolds, κ,μ-contact metric manifolds, and Nκ-contact metric manifolds.
Tarak Mandal +3 more
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Singular Ricci solitons and their stability under the Ricci flow [PDF]
Communications in Partial Differential Equations, 2013 58 ...
Spyros Alexakis +2 more
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Frontiers in Physics, 2022 The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
Santu Dey, Nasser Bin Turki
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ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2012 We introduce a natural extension of the concept of gradient Ricci soliton: the Ricci almost soliton. We provide existence and rigidity results, we deduce a-priori curvature estimates and isolation phenomena, and we investigate some topological properties. A number of differential identities involving the relevant geometric quantities are derived.
Pigola, S +3 more
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Karpatsʹkì Matematičnì Publìkacìï, 2023 The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
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SOME RESULTS ON RICCI SOLITON ON CONTACT METRIC MANIFOLDS [PDF]
, 2023 The objective of this paper is to study the nature of Ricci soliton admitting various type of contact metric manifolds such as Kenmostu manifold, LP Sasakian manifold and LCS manifold.
Pandey, Pankaj, Sharma, Kamakshi
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A Note on Ricci Solitons [PDF]
Symmetry, 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. We find three characterizations of connected trivial Ricci solitons by imposing different restrictions on the energy ...
Sharief Deshmukh, Hana Alsodais
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