Symmetrization procedures for the isoperimetric problem in symmetric spaces of noncompact type

Details Symmetrization procedures for the isoperimetric problem in symmetric spaces of noncompact type Symmetrization procedures for the isoperimetric problem in symmetric spaces of noncompact type

2005-04-20

arxiv.org/abs/math/0504405v1

Mathematics

Differential Geometry

28 pages, 1 figure

Scientific paper

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.

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