Comparison theorems on H-type sub-Riemannian manifolds
Copyright policy )Comparison theorems on H-type sub-Riemannian manifolds
Abstract On H-type sub-Riemannian manifolds we establish sub-Hessian and sub-Laplacian comparison theorems which are uniform for a family of approximating Riemannian metrics converging to the sub-Riemannian one. We also prove a sharp sub-Riemannian Bonnet–Myers theorem that extends to this general setting results previously proved on contact and quaternionic contact manifolds.
Mathematics - Differential Geometry, Differential Geometry (math.DG), 53C17, [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], FOS: Mathematics, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [MATH.MATH-MG]Mathematics [math]/Metric Geometry [math.MG], Article, 510, Sub-Riemannian geometry
Mathematics - Differential Geometry, Differential Geometry (math.DG), 53C17, [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], FOS: Mathematics, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [MATH.MATH-MG]Mathematics [math]/Metric Geometry [math.MG], Article, 510, Sub-Riemannian geometry
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!