Heisenberg isoperimetric problem. The axial case

Roberto Monti

doi:10.1515/ACV.2008.003

Article

Heisenberg isoperimetric problem. The axial case

Roberto Monti

Published/Copyright: May 9, 2008

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From the journal Volume 1 Issue 1

Abstract

We prove Pansu's conjecture about the Heisenberg isoperimetric problem in the class of axially symmetric sets. The result is based on a weighted rearrangement scheme in the half plane which is of independent interest.

Keywords.: Isoperimetric problem; Heisenberg group

Received: 2007-09-15

Revised: 2007-10-31

Published Online: 2008-05-09

Published in Print: 2008-March

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Articles in the same Issue

The relaxed Dirichlet energy of manifold constrained mappings
Dimension reduction for the singular set of biharmonic maps
Heisenberg isoperimetric problem. The axial case
Curvature estimates for Weingarten hypersurfaces in Riemannian manifolds

https://doi.org/10.1515/ACV.2008.003

Keywords for this article

Isoperimetric problem; Heisenberg group

Articles in the same Issue

The relaxed Dirichlet energy of manifold constrained mappings
Dimension reduction for the singular set of biharmonic maps
Heisenberg isoperimetric problem. The axial case
Curvature estimates for Weingarten hypersurfaces in Riemannian manifolds