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.
New convexity concept applied to sphere yields quermassintegral inequalities.
The paper proves existence of horo-convex hypersurfaces in hyperbolic space with specific curvature conditions.
Paper proves super log-concavity of first eigenfunction for certain hyperbolic domains.
The paper proves new inequalities in hyperbolic space using Euclidean methods.
In this article, we first establish the main tool - an integral formula for Riemannian manifolds with multiple boundary components (or without boundary). This formula generalizes Reilly's original formula from \cite{Re2} and the recent result from \cite{QX}. It provides a robust tool for sub-static manifolds regardless…
New flow expands hypersurfaces in hyperbolic space, showing round limiting shape for certain powers.