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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…
math.DG2025
Lower bounds on the normal injectivity radius of hypersurfaces and bounded geometries on manifolds with boundary
Sebastian Boldt, Batu Güneysu, Stefano Pigola
We prove for the first time a pointwise lower estimate of the normal injectivity radius of an embedded hypersurface in an arbitrary Riemannian manifold. Main applications include:…