Document Type

Article

Publication Date

9-1-2006

Publication Title

The Journal of Geometric Analysis

Abstract

We study the relationship between the geometry of hypersurfaces in a Carnot-Carathéodory (CC) space and the Ahlfors regularity of the corresponding perimeter measure. To this end we establish comparison theorems for perimeter estimates between an hypersurface and its tangent space, and between a CC geometry and its “tangent” Carnot group structure.

Volume

16

Issue

3

First Page Number

455

Last Page Number

497

DOI

10.1007/BF02922062

Version

Preprint

Publisher Statement

This is a pre-print of an article published in The Journal of Geometric Analysis. The final authenticated version is available online at: https://doi.org/10.1007/BF02922062

Rights

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.

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