Artem Nepechiy

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20192026

most citedToward canonical convex functions in Alexandrov spaces

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

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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.DG2019★ 1 cited

Toward canonical convex functions in Alexandrov spaces

Artem Nepechiy

We construct for every finite-dimensional Alexandrov space $A$ and every point $p \in A$ a $2$ -convex function $f_{p}$ in a small neighborhood around $p$ , which approximates $\operat…