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 Golo and Zhang [Anal. Geom. Metr. Spaces 12 (2024), p. 30] can be strictly less than the curvature exponent by studying the convergence of the structure constants of Lie algebra.
On the lower bound of the curvature exponent on step-two Carnot groups / Zhang, Ye. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 1088-6826. - 153:10(2025), pp. 4437-4446. [10.1090/proc/17314]
On the lower bound of the curvature exponent on step-two Carnot groups
Zhang, Ye
2025-01-01
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 Golo and Zhang [Anal. Geom. Metr. Spaces 12 (2024), p. 30] can be strictly less than the curvature exponent by studying the convergence of the structure constants of Lie algebra.File in questo prodotto:
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