Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

N. De Ponti

Concentration on submanifolds of positively curved homogeneous spaces

created by deponti on 15 May 2017
modified on 07 Jan 2020



Inserted: 15 may 2017
Last Updated: 7 jan 2020

Year: 2017

ArXiv: 1705.01829 PDF


A classical result of Milman roughly states that every Lipschitz function on $\mathbb{S}^n$ is almost constant on a sufficiently high-dimensional sphere $\mathbb{S}^m\subset \mathbb{S}^n$. 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.

Credits | Cookie policy | HTML 5 | CSS 2.1