A reverse coarea-type inequality in Carnot groups
arXiv:2005.01034
Abstract
We prove a coarea-type inequality for a continuously Pansu differentiable function acting between two Carnot groups endowed with homogeneous distances. We assume that the level sets of the function are uniformly lower Ahlfors regular and that the Pansu differential is everywhere surjective.
title changed; various changes of notation; a correction in Theorem 3.2; small changes in the structure; some results extended, typos corrected. The article will appear in Annales de l'Institut Fourier