Search Results - "Hallgren, Max"
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Ricci flow with Ricci curvature and volume bounded below
Published in Mathematische annalen (2024)“…We show that a simply-connected closed four-dimensional Ricci flow whose Ricci curvature is uniformly bounded below and whose volume does not approach zero…”
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The entropy of Ricci flows with Type-I scalar curvature bounds
Published in Advances in mathematics (New York. 1965) (01-04-2023)Get full text
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Geometric Regularity of Blow-up Limits of the Kähler-Ricci Flow
Published in Geometric and functional analysis (2024)“…We establish geometric regularity for Type I blow-up limits of the Kähler-Ricci flow based at any sequence of Ricci vertices. As a consequence, the limiting…”
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K\"ahler-Ricci Tangent Flows are Infinitesimally Algebraic
Published 11-12-2023“…We show that any tangent cone of a singular shrinking K\"ahler-Ricci soliton is a normal affine algebraic variety. Moreover, the regular set of such a tangent…”
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Ricci Flow with Ricci Curvature and Volume Bounded Below
Published 07-04-2021“…We show that a simply-connected closed four-dimensional Ricci flow whose Ricci curvature is uniformly bounded below and whose volume does not approach zero…”
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The Entropy of Ricci Flows with Type-I Scalar Curvature Bounds
Published 20-07-2020“…In this paper, we extend the theory of Ricci flows satisfying a Type-I scalar curvature condition at a finite-time singularity. In [Bam16], Bamler showed that…”
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Tangent Flows of K\"ahler Metric Flows
Published 12-02-2022“…We improve the description of $\mathbb{F}$-limits of noncollapsed Ricci flows in the K\"ahler setting. In particular, the singular strata $\mathcal{S}^k$ of…”
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The Nonexistence of Noncompact Type-I Ancient 3-d $\kappa$-Solutions of Ricci Flow with Positive Curvature
Published 25-01-2018“…In this short paper, we show there do not exist three-dimensional noncompact $\kappa$-solutions of Ricci flow that have positive curvature and satisfy a Type-I…”
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Geometric regularity of blow-up limits of the K\"ahler-Ricci flow
Published 11-10-2023“…We establish geometric regularity for Type I blow-up limits of the K\"ahler-Ricci flow based at any sequence of Ricci vertices. As a consequence, the limiting…”
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A Differential Harnack Inequality for the Newell-Whitehead Equation
Published 11-12-2017“…This paper will develop a Li-Yau-Hamilton type differential Harnack estimate for positive solutions to the Newell-Whitehead equation on $\mathbb{R}^n$. We then…”
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