The Area Formula for Lipschitz Mappings of Carnot--Carathéodory Spaces

2011/10/25 by Maria Karmanova, Karmanova, Maria
Mathematics · #51F99 (Primary) 53B99 #58A99 (Secondary) #FOS: Mathematics #Metric Geometry (math.MG) #math.MG #msc:51F99 #msc:53B99 #msc:58A99

paper · pdf · doi:10.48550/arxiv.1110.5483

21 pages

arxiv created 2011/10/25 · arxiv updated 2011/10/26

Abstract

We prove the sub-Riemannian analog of the area formula for Lipschitz (in sub-Riemannian sense) mappings of equiregular Carnot--Carathéodory spaces.

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