Hermitian symmetry of certain Kähler groups (Q2720930)
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scientific article; zbMATH DE number 1611733
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hermitian symmetry of certain Kähler groups |
scientific article; zbMATH DE number 1611733 |
Statements
1 July 2001
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Kähler manifold
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compact manifold
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Hermitian symmetric space
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0.9135884
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0.89854085
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0.8856342
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Hermitian symmetry of certain Kähler groups (English)
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The author considers a compact Kähler manifold \(X\) and denotes by \(\Gamma\) a uniform lattice of a noncompact simple Lie group \(G\), whose associated Riemannian symmetric space \(G/K\), \(K\)-maximal compact subgroup of \(G\), is of rank \(G/K \geq 2\). Assuming the existence of a nontrivial group homomorphism \(\varphi: \Gamma\rightarrow \Pi (X)\) and under some additional conditions it is proved that \(G/K\) is a Hermitian symmetric space.
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