Blogs about: Ricci Flow
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Classification of Almost Quarter-Pinched Manifolds
Peter Petersen and I have just uploaded to the arXiv our paper, “Classification of Almost Quarter-Pinched Manifolds“, submitted to Proc. Amer. Math. Soc.. This is perhaps the shortest pap… more →
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The topological Cauchy-Schwarz inequality
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Danny Calegari wrote 5 months ago: I recently made the final edits to my paper “Positivity of the universal pairing in 3 dimensio … more →
Cramer-Rao bound and Ricci flow II
mfrasca wrote 6 months ago: The paper I presented about this matter (see here) has been accepted by EuRad 2009 Conference. This … more →
Cramer-Rao bound and Ricci flow
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mfrasca wrote 10 months ago: Two dimensional Ricci flow is really easy to manage. In this case the equation takes a very simple f … more →
scalar curvature blowup at first singular time
thecooper wrote 10 months ago: I just figured out that Šešum’s proof that at a Ricci flow singularity in fact works, with a s … more →
Ricci blowup at first singular time
thecooper wrote 10 months ago: The major analytic task in geometric flows is to understand the structure of singularities. The fi … more →
Ricci flow as a stochastic process
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mfrasca wrote 10 months ago: Yesterday I have posted a paper on arxiv (see here). In this work I prove a theorem about Ricci flow … more →
Ricci solitons in two dimensions
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mfrasca wrote 10 months ago: Today I have read recent changes to DispersiveWiki. This is a beautiful site about differential equa … more →
Ricci solitons
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mfrasca wrote 10 months ago: These days I am looking at all this area of mathematical research born with Richard Hamilton and put … more →
Classification of Almost Quarter-Pinched Manifolds
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Terence Tao wrote 1 year ago: Peter Petersen and I have just uploaded to the arXiv our paper, “Classification of Almost Quar … more →
Bohm and Wilking's method of deformation of Ricci flow invariant curvature conditions
matheuscmss wrote 1 year ago: In a previous post about the proof of the differentiable sphere theorem (due to S. Brendle and R. Sc … more →
The differentiable sphere theorem of Brendle and Schoen
matheuscmss wrote 1 year ago: A fundamental problem in Differential Geometry is the following: Problem. Determine the topology of … more →
285G, Lecture 14: Stationary points of Perelman entropy or reduced volume are gradient shrinking solitons
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Terence Tao wrote 1 year ago: We continue our study of -solutions. In the previous lecture we primarily exploited the non-negative … more →
285G, Lecture 13: Li-Yau-Hamilton Harnack inequalities and κ-solutions
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Terence Tao wrote 1 year ago: We now turn to the theory of parabolic Harnack inequalities, which control the variation over space … more →
285G, Lecture 11: κ-noncollapsing via Perelman reduced volume
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Terence Tao wrote 1 year ago: Having established the monotonicity of the Perelman reduced volume in the previous lecture (after fi … more →
Grigori Perelman, Sylvia Nasser, Theodore Kaczynski and youtube
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ectp wrote 1 year ago: Grigori Perelman is quite well known among the scientific-academics. The NewYorker article by Sylvia … more →
285G, Lecture 6: Finite time extinction of the third homotopy group, II
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Terence Tao wrote 1 year ago: In this lecture we discuss Perelman’s original approach to finite time extinction of the third … more →
285G, Lecture 4: Finite time extinction of the second homotopy group
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Terence Tao wrote 1 year ago: Returning (perhaps anticlimactically) to the subject of the Poincaré conjecture, recall from Lecture … more →
Holomorphic forms on blue teapot
Maureen Flynn-Burhoe wrote 1 year ago: I was first introduced to the work of Xianfeng David Gu’s mesmerizing Escher-like visualizatio … more →
285G, Lecture 3: The maximum principle, and the pinching phenomenon
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Terence Tao wrote 1 year ago: We now begin the study of (smooth) solutions to the Ricci flow equation , (1) particularly for compa … more →
