Results 51 to 60 of about 5,224,338 (238)
The Ricci flow under almost non-negative curvature conditions [PDF]
Inventiones Mathematicae, 2017 We generalize most of the known Ricci flow invariant non-negative curvature conditions to less restrictive negative bounds that remain sufficiently controlled for a short time.
R. Bamler +2 more
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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 ...
Chen, Xiuxiong, Wang, Bing
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Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold
Universe, 2022 In this article, a Ricci soliton and *-conformal Ricci soliton are examined in the framework of trans-Sasakian three-manifold. In the beginning of the paper, it is shown that a three-dimensional trans-Sasakian manifold of type (α,β) admits a Ricci ...
Zhizhi Chen +4 more
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An Introduction to the Kähler-Ricci Flow [PDF]
, 2013 This volume collects lecture notes from courses offered at several conferences and workshops, and provides the first exposition in book form of the basic theory of the Kähler-Ricci flow and its current state-of-the-art. While several excellent books on Kähler-Einstein geometry are available, there have been no such works on the Kähler-Ricci flow.
Boucksom, Sébastien +2 more
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The spinorial energy for asymptotically Euclidean Ricci flow
Advanced Nonlinear Studies, 2023 This article introduces a functional generalizing Perelman’s weighted Hilbert-Einstein action and the Dirichlet energy for spinors. It is well defined on a wide class of noncompact manifolds; on asymptotically Euclidean manifolds, the functional is shown
Baldauf Julius, Ozuch Tristan
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A modified Kähler–Ricci flow [PDF]
Mathematische Annalen, 2009 In this note, a modified Kähler-Ricci flow is introduced and studied. The main point is to show the flexibility of Kähler-Ricci flow and summarize some useful techniques.
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Heat Kernel Estimate Along Ricci-Harmonic Flow
MathematicsIn this paper, we study the Ricci-harmonic flow under the assumption that the scalar curvature is bounded. First, we establish a time-derivative bound for solutions to the heat equation along the flow.
Chen Wang, Guoqiang Wu
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Eguchi–Hanson Singularities in U(2)-Invariant Ricci Flow [PDF]
Peking Mathematical Journal, 2019 We show that a Ricci flow in four dimensions can develop singularities modeled on the Eguchi–Hanson space. In particular, we prove that starting from a class of asymptotically cylindrical U (2)-invariant initial metrics on $$TS^2$$ T S 2 , a Type II ...
Alexander Appleton
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Ricci-Bourgoignon Flow on Contact Manifolds
پژوهشهای ریاضی, 2020 Introduction After pioneering work of Hamilton in 1982, Ricci flow and other geometric flows became as one of the most interesting topics in both mathematics and physics.
Ghodratallah Fasihi-Ramandi +1 more
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Ricci flow under local almost non-negative curvature conditions [PDF]
Advances in Mathematics, 2018 We find a local solution to the Ricci flow equation under a negative lower bound for many known curvature conditions. The flow exists for a uniform amount of time, during which the curvature stays bounded below by a controllable negative number.
Y. Lai
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