Blogs about: Variation Formulae

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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, Perelman reduced volume, Perelman reduced length, geodesics, Bishop-Gromov comparison inequality

285G, Lecture 1: Flows on Riemannian manifolds — 46 comments

Terence Tao wrote 5 years ago: In the first lecture, we introduce flows on Riemannian manifolds , which are recipes for describing … more →

Tags: 285G - poincare conjecture, math.AP, math.DG, de Turck trick, diffeomorphisms, Ricci flow


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