A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Minimal surfaces' area bounds proven equivalent, extending known results.
We derive curvature estimates for minimal submanifolds in Euclidean space for arbitrary dimension and codimension via Gauss map. Thus, Schoen-Simon-Yau's results and Ecker-Huisken's results are generalized to higher codimension. In this way we improve Hildebrandt-Jost-Widman's result for the Bernstein type theorem.
The paper provides curvature estimates for stable free boundary minimal hypersurfaces.
Curvature estimate for stable free boundary minimal hypersurfaces in wedge-shaped manifolds.
Alternative proof and extension of curvature estimates for minimal immersions.
Curvature estimates and sheeting theorems for weakly stable CMC hypersurfaces established.
New method improves curvature estimates for stable surfaces.