Blogs about: Perelman Reduced Length

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285G, Lecture 10: Variation of L-geodesics, and monotonicity of Perelman reduced volume

Having completed a heuristic derivation of the monotonicity of Perelman reduced volume (Conjecture 1 from the previous lecture), we now turn to a rigorous proof. Whereas in the previous lecture we der… more →

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285G, Lecture 10: Variation of L-geodesics, and monotonicity of Perelman reduced volume — 12 comments

Terence Tao wrote 5 years ago: Having completed a heuristic derivation of the monotonicity of Perelman reduced volume (Conjecture 1 … more →

Tags: math.DG, 285G - poincare conjecture, variation formulae, Perelman reduced volume, geodesics, Bishop-Gromov comparison inequality

285G, Lecture 9: Comparison geometry, the high-dimensional limit, and Perelman reduced volume — 20 comments

Terence Tao wrote 5 years ago: We now turn to Perelman’s second scale-invariant monotone quantity for Ricci flow, now known a … more →

Tags: math.DG, 285G - poincare conjecture, Perelman reduced volume, Bishop-Gromov inequality, high-dimensional limit


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