Daniel John
Published 2005-04-20Version 1
We establish a new symmetrization procedure for the isoperimetric problem in symmetric spaces of noncompact type. This symmetrization generalizes the well known Steiner symmetrization in euclidean space. In contrast to the classical construction the symmetrized domain is obtained by solving a nonlinear elliptic equation of mean curvature type. We conclude the paper discussing possible applications to the isoperimetric problem in symmetric spaces of noncompact type.
Comments: 28 pages, 1 figure
The isoperimetric problem for regular and crystalline norms in $\mathbb H^1$
Classification of cohomogeneity-one actions on symmetric spaces of noncompact type
Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank
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