Concentration on submanifolds of positively curved homogeneous spaces

2017/05/04 by De Ponti, Nicolò
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.01829

Abstract

A classical result of Milman roughly states that every Lipschitz function on \mathbbSⁿ is almost constant on a sufficiently high-dimensional sphere \mathbbS^m⊂ \mathbbSⁿ. In this paper we extend the result by proving that any Lipschitz function on a positively curved homogeneous space is almost constant on a high dimensional submanifold.

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