Lévy Concentration of Metric Measure Manifolds
Recently, M. Gromov  introduced several new geometric invariants for metric measure spaces to study the Lévy concentration theory . 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.
© 2000 Kluwer Academic Publishers
Gu, Weiqing; Shen, Zhongmin. "Lévy concentration of metric measure manifolds." Finslerian geometries (Edmonton, AB, 1998), 169–177, Fund. Theories Phys., 109, Kluwer Acad. Publ., Dordrecht, 2000.