Ricci flow with Ricci curvature and volume bounded below
Mathematische AnnalenWe show that a simply-connected closed four-dimensional Ricci flow whose Ricci curvature is uniformly bounded below and whose volume does not approach zero must converge to a $C^{0}$ orbifold at any finite-time singularity, so has an extension through the singularity via orbifold Ricci flow.
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Rigidity of convex domains in manifolds with nonnegative Ricci and sectional curvature [PDF]
, 1989 Viktor Schroeder, Martin Strake
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Mixing and concentration by Ricci curvature
Journal of Functional Analysis, 2016 38 pages, 1 figure.
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On the moduli space of positive Ricci curvature metrics on homotopy spheres [PDF]
, 2011 David J. Wraith
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Volume of minimal hypersurfaces in manifolds with nonnegative Ricci curvature [PDF]
, 2015 Stéphane Sabourau
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The Nonexistence of Noncompact Type-I Ancient 3-d $\kappa$-Solutions of Ricci Flow with Positive Curvature [PDF]
, 2018 Max Hallgren
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Appearance of stable minimal spheres along the Ricci flow in positive scalar curvature [PDF]
, 2019 Antoine Song
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Measuring robustness of brain networks in autism spectrum disorder with Ricci curvature. [PDF]
Sci Rep, 2020 Simhal AK +7 more
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Discrete Ricci curvature bounds for Bernoulli-Laplace and random\n transposition models [PDF]
, 2014 Matthias Erbar, Jan Maas, Prasad Tetali
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Sharp H\\"older continuity of tangent cones for spaces with a lower Ricci\n curvature bound and applications [PDF]
, 2011 Tobias Colding, Aaron Naber
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