Differentiability and ApproximateDifferentiability for Intrinsic LipschitzFunctions in Carnot Groups and a RademacherTheorem

A Carnot group G is a connected, simply connected, nilpotent Lie group with stratified Lie algebra.We study intrinsic Lipschitz graphs and intrinsic differentiable graphs within Carnot groups. Both seem to bethe natural analogues inside Carnot groups of the corresponding Euclidean notions. Here ‘nat...

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Bibliographic Details
Main Authors: Franchi Bruno, Marchi Marco, Serapioni Raul Paolo
Format: Article
Language:English
Published: De Gruyter 2014-01-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.2478/agms-2014-0010