3 papers
math.DG2026
Integral type Gauss-Green formula on non-collapsed RCD spaces and its applications
Zhangkai Huang
We prove an integral type Gauss-Green formula on non-collapsed RCD spaces using the strong locality of the Laplacian and an eigenfunction approximation method. As applications, we…
math.DG2025
Inradius collapsed manifolds with a lower Ricci curvature bound
Zhangkai Huang, Takao Yamaguchi
In this paper, we study a family of -dimensional Riemannian manifolds with boundary having lower bounds on the Ricci curvatures of interior and boundary and on the second fundam…
math.DG2025
Compact harmonic RCD spaces are harmonic manifolds
Zhangkai Huang
In this paper, we study harmonic RCD spaces as the counterpart of harmonic Riemannian manifolds with Ricci curvature bounded from below. We prove that a compact RCD s…