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math.DG2026
Besicovitch Covering on Alexandrov Spaces
Maxime Marot
We prove that finite-dimensional geodesic locally compact Alexandrov spaces with curvature bounded below (CBB), and in particular complete Riemannian manifolds with lower bounded s…
math.DG2026
Analysis on surfaces with locally bounded integral curvature
Sebastian Boldt, Batu Güneysu, Maxime Marot
We prove several analytic results on (possibly noncompact) complete singular surfaces having locally bounded integral curvature (in short: BIC surfaces). Regarding these as metric…