Cheeger constants of surfaces and isoperimetric inequalities
We show that the Cheeger constant of compact surfaces is bounded by a function of the area. We apply this to isoperimetric profiles of bounded genus non-compact surfaces, to show that if their isoperimetric profile grows faster than $\sqrt t$, then it grows at least as fast as a linear function. Thi...
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| Médium: | Journal article |
| Jazyk: | English |
| Vydáno: |
2007
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