Blogs about: Perelman Reduced Volume

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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 de… more »

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

Terence Tao wrote 2 months ago: Having completed a heuristic derivation of the monotonicity of Perelman reduced volume (Conjecture 1 … more »

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

285G, Lecture 9: Comparison geometry, the high-dimensional limit, and Perelman reduced volume — 17 comments

Terence Tao wrote 2 months 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 length, Bishop-Gromov inequality, high-dimensional limit


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