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.
2-width of 3-manifolds is bounded by 2 but embeddings can have infinite 2-width.
The study shows a 3D manifold's macroscopic dimension is 1 under specific curvature constraints.
We give a bound on the extinction time for a compact, strictly convex hypersurface in R^{n+1} evolving by a geometric flow where the velocity is given in terms of the curvature. This result generalizes a theorem of Colding and Minicozzi for mean curvature flow solutions to a wider class of flows studied by Ben Andrews.…
The paper proves conditions for the existence of small Urysohn width hypersurfaces in manifolds with positive scalar curvature.