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.
Having in mind the well known model of Euclidean convex hypersurfaces [4], [5], and the ideas in [1] many authors defined and investigate convex hypersurfaces of a Riemannian manifold. As it was proved by the first author in [7], there follows the interdependence between convexity and Gauss curvature of the hypersurfac…
We consider the quermassintegral preserving flow of closed \emph{h-convex} hypersurfaces in hyperbolic space with the speed given by any positive power of a smooth symmetric, strictly increasing, and homogeneous of degree one function f of the principal curvatures which is inverse concave and has dual f∗ approachi…
Given a real-valued function c defined on the cartesian product of a generic Carnot group $\G$ and the first layer V1 of its Lie algebra, we introduce a notion of c horizontal convex (c H-convex) function on $\G$ as the supremum of a suitable family of affine functions; this family is defined pointwisely, and …
Given a compact and H-convex subset K of the Heisenberg group H, with the origin e in its interior, we are interested in finding a homogeneous H-convex function f such that f(e)=0 and f∂K=1; we will call this function f the H-cone-function of vertex e and base $\pa…