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arXiv · 2504.20005

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

Ye Zhang
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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.

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Ye Zhang. 2025-04-28. On the lower bound of the curvature exponent on step-two Carnot groups. https://doi.org/10.1090/proc/17314

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