Lévy Concentration of Metric Measure Manifolds

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Book Chapter


Mathematics (HMC)

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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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