Dr. Artem Nepechiy
Researcher
Karlsruher Institut für Technologie
E-mail: artem.nepechiy(at)kit.edu
Project
24Minimal surfaces in metric spaces
52Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds II
Publications
The goal of this note is to demonstrate how existing results can be adapted
to establish the following result: A locally metric measure homogeneous RCD(????, ????)
space is isometric to, after multiplying a positive constant to the reference measure,
a smooth Riemannian manifold with the Riemannian volume measure.
Related project(s):
15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds52Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds II
We show that locally homogeneous C^0-Riemannian manifolds are smooth.
| Journal | Transformation Groups |
| Link to preprint version | |
| Link to published version |
Related project(s):
24Minimal surfaces in metric spaces66Minimal surfaces in metric spaces II