Rendiconti Lincei, Matematica e Applicazioni, 2021 We give a survey on the Chern-Ricci flow, a parabolic flow of Hermitian metrics on complex manifolds. We emphasize open problems and new directions.
Valentino Tosatti, B. Weinkove
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Advances in Nonlinear Analysis, 2023 In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics.
López Enrique +2 more
doaj +3 more sources
Weak scalar curvature lower bounds along Ricci flow [PDF]
Science China Mathematics, 2021 In this paper, we study Ricci flow on compact manifolds with a continuous initial metric. It was known from Simon (2002) that the Ricci flow exists for a short time.
Wenshuai Jiang +2 more
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Uniqueness of compact ancient solutions to the higher-dimensional Ricci flow [PDF]
Journal für die Reine und Angewandte Mathematik, 2021 In dimensions n ≥ 4 {n\geq 4} , an ancient κ-solution is a nonflat, complete, ancient solution of the Ricci flow that is uniformly PIC and weakly PIC2; has bounded curvature; and is κ-noncollapsed.
S. Brendle +3 more
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Radiometric Constraints on the Timing, Tempo, and Effects of Large Igneous Province Emplacement
Geophysical Monograph Series, Page 27-82., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Jennifer Kasbohm +2 more
wiley +4 more sources
Small curvature concentration and Ricci flow smoothing [PDF]
Journal of Functional Analysis, 2021 We show that a complete Ricci flow of bounded curvature which begins from a manifold with a Ricci lower bound, local entropy bound, and small local scale-invariant integral curvature control will have global point-wise curvature control at positive times
Pak-Yeung Chan, Eric Chen, Man-Chun Lee
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Hyperbolic Ricci-Bourguignon-Harmonic Flow [PDF]
Mathematics Interdisciplinary Research, 2022 In this paper, we consider hyperbolic Ricci-Bourguignon flow on a compact Riemannian manifold M coupled with the harmonic map flow between M and a fixed manifold N. At the first, we prove the unique short-time existence to solution of this system.
Shahrood Azami
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Parabolic Frequency Monotonicity on Ricci Flow and Ricci-Harmonic Flow with Bounded Curvatures [PDF]
Journal of Geometric Analysis, 2022 In this paper, we study the monotonicity of parabolic frequency motivated by Baldauf and Kim (Parabolic frequency on Ricci flows. To appear in Int. Math. Res. Not., rnac128.
C. Li, Yi Li, Kairui Xu
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On Weak Super Ricci Flow through Neckpinch
Analysis and Geometry in Metric Spaces, 2021 In this article, we study the Ricci flow neckpinch in the context of metric measure spaces. We introduce the notion of a Ricci flow metric measure spacetime and of a weak (refined) super Ricci flow associated to convex cost functions (cost functions ...
Lakzian Sajjad, Munn Michael
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The Ricci–Bourguignon flow [PDF]
Pacific Journal of Mathematics, 2017 Minor ...
GIOVANNI CATINO +4 more
openaire +4 more sources