Results 31 to 40 of about 34,327 (198)
A MECHANICS FOR THE RICCI FLOW
International Journal of Geometric Methods in Modern Physics, 2009 We construct the classical mechanics associated with a conformally flat Riemannian metric on a compact, n-dimensional manifold without boundary. The corresponding gradient Ricci flow equation turns out to equal the time-dependent Hamilton–Jacobi equation of the mechanics so defined.
Abraham, S. +3 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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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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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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Nonholonomic Ricci Flows: II. Evolution Equations and Dynamics
, 2008 This is the second paper in a series of works devoted to nonholonomic Ricci flows. By imposing non-integrable (nonholonomic) constraints on the Ricci flows of Riemannian metrics we can model mutual transforms of generalized Finsler-Lagrange and Riemann ...
Belinski V. A. +10 more
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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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Integrated Application of Navier–Stokes, Ricci Flow, and EVA Frameworks for Modelling Systemic Risks, Shock Scenarios, and Resilience to Socioeconomic Challenges: The Case of Critical Railway Corridors [PDF]
SocioEconomic ChallengesThe paper presents a multifaceted analysis of the strategic impact of the Georgian railway corridor on the country’s economic development through an innovative synthesis of physical, mathematical, and financial modeling frameworks.
Davit Gondauri, Nino Chedia
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Collapsing immortal Kähler-Ricci flows
Forum of Mathematics, PiWe consider the Kähler-Ricci flow on compact Kähler manifolds with semiample canonical bundle and intermediate Kodaira dimension, and show that the flow collapses to a canonical metric on the base of the Iitaka fibration in the locally smooth topology ...
Hans-Joachim Hein +2 more
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SPACE OF RICCI FLOWS (II)—PART A: MODULI OF SINGULAR CALABI–YAU SPACES
Forum of Mathematics, Sigma, 2017 We establish the compactness of the moduli space of noncollapsed Calabi–Yau spaces with mild singularities. Based on this compactness result, we develop a new approach to study the weak compactness of Riemannian manifolds.
XIUXIONG CHEN, BING WANG
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Ricci flows on surfaces related to the Einstein Weyl and Abelian vortex equations
, 2013 There are described equations for a pair comprising a Riemannian metric and a Killing field on a surface that contain as special cases the Einstein Weyl equations (in the sense of D.
Fox, Daniel J. F.
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