The Isoperimetric Inequality in ℍ

doi:10.1007/978-3-7643-8133-2_7

Part of the book series: Progress in Mathematics ((PM,volume 259))

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Abstract

The isoperimetric inequality in ℍ with respect to the horizontal perimeter was first proved by Pansu. We first state it in the setting of C¹ sets.

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Editors and Affiliations

Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL, 61801, USA
Jeremy T. Tyson

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(2007). The Isoperimetric Inequality in ℍ. In: Tyson, J.T. (eds) An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem. Progress in Mathematics, vol 259. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8133-2_7

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DOI: https://doi.org/10.1007/978-3-7643-8133-2_7
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8132-5
Online ISBN: 978-3-7643-8133-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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