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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. 3,157 more words

Math.DG

285G, Lecture 1: Flows on Riemannian manifolds

In the first lecture, we introduce flows on Riemannian manifolds , which are recipes for describing smooth deformations of such manifolds over time, and derive the basic… 3,749 more words

Math.AP