Sebastian Boldt

collaborators

3 papers

math.DG2026

Analysis on surfaces with locally bounded integral curvature

Sebastian Boldt, Batu GÃ¼neysu, 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.MG2026

The speed measure and absolute continuity for curves in metric spaces

Sebastian Boldt, Peter Stollmann, Felix Wirth

We define the speed measure $I^½$ for mappings $I^^{3} : I \to X$ from an interval to a metric space that are locally of bounded variation. We characterize continuity and absolute continui…

math.DG2025

Lower bounds on the normal injectivity radius of hypersurfaces and bounded geometries on manifolds with boundary

Sebastian Boldt, Batu GÃ¼neysu, 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:…