4 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Isometric immersions of RCD spaces via heat kernels
Zhangkai Huang
Given an RCD space , one can use its heat kernel to map it into the space by a locally Lipschitz map . The spa…