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.
The study shows that certain manifolds cannot have metrics with positive scalar curvature.
It is well-known that the class of piecewise smooth curves together with a smooth Riemannian metric induces a metric space structure on a manifold. However, little is known about the minimal regularity needed to analyze curves and particularly to study length-minimizing curves where neither classical techniques such as…
Synthetic approach to conformal transformations in metric and Lorentzian spaces.
The study constructs a Lorentzian length space and explores its properties and relationships with metric and causal geometry.
Paper studies geometric properties of nonlinear Lebesgue spaces.