关于Heisenberg群上的等周不等式

The isoperimetric inequality on the Heisenberg group H^n

证明了在一维Heisenberg群H1上C-C球不是等周集;同时在A类集中有等周集的假设前提下,给出了Heisenberg群H1上等周不等式的最佳常数.

In this paper, we prove that the C-C balls are not isoperimetrie sets on the one-dimensional Heisenberg group H^1. Under the hypothesis that there were isoperimetrie sets in the class A, we obtain the best constant in the isoperimetric inequality.