H^n中的数量等周不等式
Quantitative isoperimetric inequalities in H^n
摘要：
在Heisenberg群H^n中，我们证明了Pansu球面的数量等周不等式，这些不等式在各种假设下都是等周的。适当限制类的竞争集和证明依赖于建设的子校准的不等式。
英文摘要：
In the Heisenberg group H^n, we prove quantitative isoperimetric inequalities for Pansu's spheres, that are known to be isoperimetric under various assumptions. The inequalities are shown for suitably restricted classes of competing sets and the proof relies on the construction of sub-calibrations.
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