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

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.

arXiv commentTo appear at Proceedings of the American Mathematical Society

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