标题： 关于Carnot群中可塑性和多指数映射的开性的一篇注记 显示英文标题

标题： A note on pliability and the openness of the multiexponential map in Carnot groups

摘要： 近年来，提出了几种关于Carnot群中水平向量非刚性的概念，特别是由单调集的特征和Whitney扩展性质所驱动。在本文中，我们比较了其中一些概念，证明了可塑性、强可塑性以及称为(H)-条件的多指数映射的开性性质都是等价的。 显示英文摘要

摘要： In recent years, several notions of non-rigidity of horizontal vectors in Carnot groups have been proposed, motivated, in particular, by the characterization of monotone sets and Whitney extension properties. In this note we compare some of these notions, proving that pliability, strong pliability, and the openness property of the multi-exponential map known as (H)-condition are all equivalent.