4 papers
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…
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…
On two notions of curvature on singular surfaces
Maxime Marot
In this paper, we investigate the equivalence of two distinct notions of curvature bounds on singular surfaces. The first notion involves inequalities of the form (resp.…
A note on the scattering theory of Kato-Ricci manifolds
Batu Güneysu, Maxime Marot
In this note we prove a new criterion for the existence and completeness of the wave operators corresponding to the Laplace-Beltrami operators corresponding to two Riemannian…