A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type (Q1196428)
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scientific article; zbMATH DE number 78577
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type |
scientific article; zbMATH DE number 78577 |
Statements
A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type (English)
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14 December 1992
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A compact Clifford-Klein form of a homogeneous space \(G/H\) is defined as a quotient \(\Gamma\setminus G/H\) where \(\Gamma\) is a subgroup of \(G\) acting properly discontinuously and freely on \(G/H\) so that \(\Gamma\setminus G/H\) is compact in the quotient topology. The problem stated in the title is studied here and two (rather technical) necessary conditions are proved for the existence of a compact Clifford-Klein form of a given \(G/H\) of the reductive type.
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homogeneous space
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Clifford-Klein form
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reductive type
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