Results 21 to 30 of about 100,495 (211)
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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The Chern-Ricci flow on complex surfaces [PDF]
, 2012 The Chern-Ricci flow is an evolution equation of Hermitian metrics by their Chern-Ricci form, first introduced by Gill. Building on our previous work, we investigate this flow on complex surfaces. We establish new estimates in the case of finite time non-
Ben Weinkove +15 more
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Remarks on Kähler Ricci Flow [PDF]
Journal of Geometric Analysis, 2009 We note an overlap with the paper of Rubinstein [Ru1].
Chen, Xiuxiong, Wang, Bing
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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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The twisted Kähler–Ricci flow [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2014 AbstractIn this paper we study a generalization of the Kähler–Ricci flow, in which the Ricci form is twisted by a closed, non-negative(1,1)$(1,1)$-form. We show that when a twisted Kähler–Einstein metric exists, then this twisted flow converges exponentially.
Collins, Tristan C. +1 more
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Diameter Estimate in Geometric Flows
Mathematics, 2023 We prove the upper and lower bounds of the diameter of a compact manifold (M,g(t)) with dimRM=n(n≥3) and a family of Riemannian metrics g(t) satisfying some geometric flows. Except for Ricci flow, these flows include List–Ricci flow, harmonic-Ricci flow,
Shouwen Fang, Tao Zheng
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Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics [PDF]
, 2006 In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geometric techniques of constructing Ricci flow solutions.
Astefanesei D. +8 more
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The Ricci flow in a class of solvmanifolds [PDF]
, 2012 In this paper, we study the Ricci flow of solvmanifolds whose Lie algebra has an abelian ideal of codimension one, by using the bracket flow. We prove that solutions to the Ricci flow are immortal, the omega-limit of bracket flow solutions is a single ...
Arroyo, Romina M.
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RICCI LOWER BOUND FOR KÄHLER–RICCI FLOW [PDF]
Communications in Contemporary Mathematics, 2014 We provide general discussion on the lower bound of Ricci curvature along Kähler–Ricci flows over closed manifolds. The main result is the non-existence of Ricci lower bound for flows with finite time singularities and non-collapsed global volume. As an application, we give examples showing that positivity of Ricci curvature would not be preserved by ...
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Hyperbolic Gradient-Bourgoignon Flow
پژوهشهای ریاضی, 2022 Introduction Ricci solitons as a generalization of Einstein manifolds introduced by Hamilton in mid 1980s. In the last two decades, a lot of researchers have been done on Ricci solitons.
Hamed Faraji +2 more
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