"Lévy Concentration of Metric Measure Manifolds" by Weiqing Gu and Zhongmin Shen
 

Lévy Concentration of Metric Measure Manifolds

Document Type

Book Chapter

Department

Mathematics (HMC)

Publication Date

2000

Abstract

Recently, M. Gromov [3] introduced several new geometric invariants for metric measure spaces to study the Lévy concentration theory [8][9]. Among the various geometric invariants is the so-called Expansion Distance. In this note, we shall study the expansion distance and its relations with other geometric quantities for smooth mm spaces — Finsler manifolds with a volume form.

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© 2000 Kluwer Academic Publishers

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