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arxiv: math/0609320 · v2 · submitted 2006-09-12 · 🧮 math.DG

On the l-Function and the Reduced Volume of Perelman I

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keywords reducedvolumeperelmananalyticboundfunctiongeometricincluding
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The main purpose of this paper is to present a number of analytic and geometric properties of the $l$-function and the reduced volume of Perelman, including in particular the monotonicity, the upper bound and the rigidities of the reduced volume.

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