Results 21 to 30 of about 96,074 (249)
Stability and instability of Ricci solitons [PDF]
, 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
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Producing 3D Ricci flows with nonnegative Ricci curvature via singular Ricci flows [PDF]
Geometry & Topology, 2021 We extend the concept of singular Ricci flow by Kleiner and Lott from 3d compact manifolds to 3d complete manifolds with possibly unbounded curvature. As an application of the generalized singular Ricci flow, we show that for any 3d complete Riemannian manifold with non-negative Ricci curvature, there exists a smooth Ricci flow starting from it.
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SOME RESULTS ON ∗−RICCI FLOW [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 In this paper we have introduced the notion of ∗-Ricci flow and shown that ∗-Ricci soliton which was introduced by Kaimakamis and Panagiotidou in 2014 which is a self similar soliton of the ∗-Ricci flow. We have also find the deformation of geometric curvature tensors under ∗-Ricci flow.
Dipankar Debnath, Nirabhra Basu
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On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow
Journal of Inequalities and Applications, 2020 This paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow.
Abimbola Abolarinwa +2 more
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Ricci Flow and Ricci Limit Spaces [PDF]
, 2020 I survey some of the developments in the theory of Ricci flow and its applications from the past decade. I focus mainly on the understanding of Ricci flows that are permitted to have unbounded curvature in the sense that the curvature can blow up as we wander off to spatial infinity and/or as we decrease time to some singular time.
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Eigenvalues and entropies under the harmonic-Ricci flow [PDF]
, 2013 In this paper, the author discusses the eigenvalues and entropies under the harmonic-Ricci flow, which is the Ricci flow coupled with the harmonic map flow. We give an alternative proof of results for compact steady and expanding harmonic-Ricci breathers.
Li, Yi
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A Derivation of the Ricci Flow
Journal of Applied Mathematics and Physics, 2021 In this work, we show that by restricting to the subgroup of time-independent coordinate transformations, then it is possible to derive the Ricci flow from the Bianchi identities. To achieve this, we first show that the field equations of the gravitational field, the Newton’s second law of classical dynamics, and the Maxwell field equations of the ...
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Communications on Pure and Applied Mathematics, 2012 AbstractIn this paper, we study the moduli spaces of m‐dimensional, κ‐noncollapsed Ricci flow solutions with bounded $\int |Rm|^{{m}/{2}}$ and bounded scalar curvature. We show a weak compactness theorem for such moduli spaces and apply it to study the estimates of isoperimetric constants, the Kähler‐Ricci flows, and the moduli spaces of gradient ...
Bing Wang, Xiuxiong Chen
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Ricci-Bourguignon flow on an open surface [PDF]
Journal of Mahani Mathematical Research, 2023 In this paper, we investigate the normalized Ricci-Bourguignon flow with incomplete initial metric on an open surface. We show that such a flow converges exponentially to a metric with constant Gaussian curvature if the initial metric is suitable.
Shahroud Azami
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PMC Physics A, 2007 15 pages. V2: improved presentation, in particular Jordan vs. Brans-Dicke and on viability. Added section on physical interpretation. V3: more references.
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