Isoperimetric and ergodic properties of horospheres in symmetric spaces. (Q2778798)
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scientific article; zbMATH DE number 1722426
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isoperimetric and ergodic properties of horospheres in symmetric spaces. |
scientific article; zbMATH DE number 1722426 |
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2001
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symmetric spaces
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Cheeger constant
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volume growth
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Isoperimetric and ergodic properties of horospheres in symmetric spaces. (English)
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The author studies Cheegers isoperimetric constant on horospheres in symmetric spaces of higher rank and noncompact type. The main result is that the horosphere normal to the maximal direction has Cheeger constant zero. On the other hand, he shows that on horospheres intrinsic geodesic balls have exponential volume growth.NEWLINENEWLINEFor the entire collection see [Zbl 0973.00044].
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