2 papers
math.DG2025
From almost smooth spaces to RCD spaces
Shouhei Honda, Song Sun
We provide various characterizations for a given almost smooth space to be an RCD space, in terms of a local volume doubling and a local Poincaré inequality. Applications include a…
math.CV2023
An infinite dimensional balanced embedding problem I:existence
Jingzhou Sun, Song Sun
We investigate the problem of balanced embedding of a non-compact complex manifold into an infinite-dimensional projective space. In this paper we prove the existence of such an em…