From the 1 of 3 linked papers with an AI index.
3 papers
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…
math.SP2024
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…