3 papers
math.DG2026
Gel'fand's inverse problem under Ricci curvature bounds
Shouhei Honda, Jinpeng Lu
The classical Gel'fand's inverse problem asks whether a Riemannian manifold is uniquely determined by the knowledge of the heat kernel on any open subset of the manifold. We study…
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…
math.DG2024
Locally homogeneous RCD spaces
Shouhei Honda, Artem Nepechiy
The goal of this note is to demonstrate how existing results can be adapted to establish the following result: A locally metric measure homogeneous space is iso…