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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.MG2020
Locally homogeneous -Riemannian manifolds
Nina Lebedeva, Artem Nepechiy
We show that locally homogeneous -Riemannian manifolds are smooth.