On the lower bound of the curvature exponent on step-two Carnot groups
Differential Geometry
2025-09-03 v3 Metric Geometry
Abstract
In this work, we show that there exists a step-two Carnot group on which the new lower bound of the curvature exponent given in arXiv:2308.15811v2 can be strictly less than the curvature exponent by studying the convergence of the structure constants of Lie algebra.
Keywords
Cite
@article{arxiv.2504.20005,
title = {On the lower bound of the curvature exponent on step-two Carnot groups},
author = {Ye Zhang},
journal= {arXiv preprint arXiv:2504.20005},
year = {2025}
}
Comments
To appear at Proceedings of the American Mathematical Society