A diameter gap for quotients of the unit sphere (Q6081866)
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scientific article; zbMATH DE number 7755548
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A diameter gap for quotients of the unit sphere |
scientific article; zbMATH DE number 7755548 |
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A diameter gap for quotients of the unit sphere (English)
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26 October 2023
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Summary: We prove that for any isometric action of a group on a unit sphere of dimension larger than 1, the quotient space has diameter zero or larger than a universal dimension-independent positive constant.
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compact groups
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orthogonal representations
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orbit space
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diameter
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