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arXiv · 2609.36973

Alexandrov Regions

Nina Lebedeva·Artem Nepechiy
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Abstract

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 dimension, might however, be non-complete. We show a quantitative version of the statement that such regions are locally isometric to an Alexandrov space.

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Nina Lebedeva, Artem Nepechiy. 2026-09-29. Alexandrov Regions. https://arxiv.org/abs/2609.36973

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