Abstract
We give a new proof that Carnot - Caratheodory ball in the Heisenberg group H <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> is not isoperimetric set; under the hypothesis that there were isoperimetric set in the class A, we give the best constant .
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