works on
alexandrov spaces 1curvature bounded below 1globalization theorem 1gradient flows 1metric geometry 1splitting theorem 1

From the 1 of 9 linked papers with an AI index.

activity
20242026
most citedWhat is differential geometry: curves and surfaces

4 citations · 4 across the 3 of their papers we have counts for

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math.MG2026

An isoperimetric inequality for mean shadow

Roman Karasev, Anton Petrunin, Alexander Plakhov

We prove an isoperimetric inequality in terms of the mean shadow area.

math.MG2025

Trees meet octahedron comparison

Nina Lebedeva, Anton Petrunin

We show that trees and their products meet octahedron comparison.