Artem Nepechiy

activity

20192026

most citedToward canonical convex functions in Alexandrov spaces

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.MG2026

Alexandrov Regions

Nina Lebedeva, Artem Nepechiy

We introduce the notion of Alexandrov region. In contrast to Alexandrov spaces these are intrinsic metric spaces, which satisfy a lower curvature bound and have finite Hausdorff di…

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 $RCD (K, N)$ space is iso…

math.MG2020

Locally homogeneous $C^{0}$ -Riemannian manifolds

Nina Lebedeva, Artem Nepechiy

We show that locally homogeneous $C^{0}$ -Riemannian manifolds are smooth.

math.DG2019★ 1 cited

Toward canonical convex functions in Alexandrov spaces