Schur's theorem for almost Hermitian manifolds (Q2720944)
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scientific article; zbMATH DE number 1611744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Schur's theorem for almost Hermitian manifolds |
scientific article; zbMATH DE number 1611744 |
Statements
1 July 2001
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almost Hermitian manifold
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sectional curvature
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almost complex structure
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math.DG
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Schur's theorem for almost Hermitian manifolds (English)
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This paper deals with a connected \(2n\)-dimensional almost Hermitian manifold \(M\). The author considers \(M\) to be of pointwise constant antiholomorphic sectional curvature \(\nu(p)\), \(p \in M\) and proves that \(\nu\) is a global constant. This way the classical theorem remains true for almost Hermitian manifolds.
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