On the lower bound of the curvature exponent on step-two Carnot groups

Ye Zhang

公開日: 2025/4/28

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.