A classical result of Milman roughly states that every Lipschitz function on Sn is almost constant on a sufficiently high-dimensional sphere Sm⊂Sn. 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.
Concentration on submanifolds of positively curved homogeneous spaces
Nicolò De Ponti
2022-01-01
Abstract
A classical result of Milman roughly states that every Lipschitz function on Sn is almost constant on a sufficiently high-dimensional sphere Sm⊂Sn. 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.File in questo prodotto:
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