Part of the Progress in Mathematics book series (PM, volume 259)
The Isoperimetric Inequality in ℍ
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.
KeywordsHeisenberg Group Isoperimetric Inequality Dirichlet Form Carnot Group Integral Geometry
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© Birkhäuser Verlag AG 2007