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C^1 submanifolds and Lipschitz graphs in Carnot groups

Daniela Di Donato
Institution: 
SISSA
Schedule: 
Friday, November 5, 2021 - 14:00
Location: 
Online
Abstract: 

 In Euclidean spaces, rectifiable sets are defined as being essentially contained in the countable union of C^1 submanifolds or, equivalently, of Lipschitz graphs. Hence, in Carnot groups, the corresponding notions of C^1_H-regular surfaces and intrinsic Lipschitz graphs are important to develop a satisfactory theory of intrinsic rectifiable sets. Firstly, I present their definitions and some basic properties and then I give a characterization of  C^1_H-regular surfaces. The talk is based on a joint work with Antonelli, Don and Le Donne

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