Calculus of Variations and Geometric Measure Theory

D. Di Donato - E. Le Donne

Intrinsically Lipschitz sections and applications to metric groups

created by didonato on 16 May 2022
modified by ledonne on 28 Sep 2023



Inserted: 16 may 2022
Last Updated: 28 sep 2023

Year: 2022

ArXiv: 2205.02086 PDF


We introduce the notion of intrinsically Lipschitz graphs to metric spaces. We generalize the notion of intrinsically Lipschitz graphs in the sense of Franchi, Serapioni and Serra Cassano. We do this by focusing our attention on the graphs property instead of the maps. More precisely, we prove some relevant results as the Ascoli-Arzel\`a compactness Theorem, Ahlfors regularity and the Extension Theorem for the intrinsically Lipschitz sections.

Tags: GeoMeG