Zhu Xin-he
Abstract
In this paper,we prove that the C-C balls are not isoperimetric sets on the one-dimensional Heisenberg group H~1.Under the hypothesis that there were isoperimetric sets in the class A,we obtain the best constant in the isoperimetric inequality.
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In this paper,we prove that the C-C balls are not isoperimetric sets on the one-dimensional Heisenberg group H~1.Under the hypothesis that there were isoperimetric sets in the class A,we obtain the best constant in the isoperimetric inequality.
Key concepts: Isoperimetric inequality, Heisenberg group, Mathematics, Isoperimetric dimension, Constant (computer programming), Class (philosophy), Group (periodic table), Inequality