Curvature exponent and geodesic dimension on Sard-regular Carnot groups
Metric Geometry
2024-07-30 v2 Differential Geometry
Abstract
In this paper we characterize the geodesic dimension and give a new lower bound to the curvature exponent on Sard-regular Carnot groups. As an application, we give an example of step-two Carnot group on which : this answers a question posed by Rizzi in arXiv:1510.05960v4 [math.MG].
Cite
@article{arxiv.2308.15811,
title = {Curvature exponent and geodesic dimension on Sard-regular Carnot groups},
author = {Sebastiano Nicolussi Golo and Ye Zhang},
journal= {arXiv preprint arXiv:2308.15811},
year = {2024}
}