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math.DG2026
Analysis on surfaces with locally bounded integral curvature
Sebastian Boldt, Batu Güneysu, Batu Güneysu +1
We prove several analytic results on (possibly noncompact) complete singular surfaces having locally bounded integral curvature (in short: BIC surfaces). Regarding these as metric…
math.DG2026
On two notions of curvature on singular surfaces
Maxime Marot
The paper proves that curvature measure bounds on singular surfaces are equivalent to Alexandrov curvature bounds (CBB/CAT) and uses this equivalence to show that a lower curvature…