Showing math.MGShow all
2 papers · 1 filter
math.MG2024
Notes on the Cheeger and Colding version of the Reifenberg theorem for metric spaces
Nicola Gigli, Ivan Yuri Violo
The classical Reifenberg's theorem says that a set which is sufficiently well approximated by planes uniformly at all scales is a topological Hölder manifold. Remarkably, this gene…
math.MG2023
A general splitting principle on RCD spaces and applications to spaces with positive spectrum
Nicola Gigli, Fabio Marconi
In this paper we develop a general `analytic' splitting principle for RCD spaces: we show that if there is a function with suitable Laplacian and Hessian, then the space is (isomor…