Locally transitive tournaments and the classification of \((1,2)\)-symplectic metrics on maximal flag manifolds (Q1766848)
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scientific article; zbMATH DE number 2140244
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Locally transitive tournaments and the classification of \((1,2)\)-symplectic metrics on maximal flag manifolds |
scientific article; zbMATH DE number 2140244 |
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Locally transitive tournaments and the classification of \((1,2)\)-symplectic metrics on maximal flag manifolds (English)
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1 March 2005
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After establishing some characterizations of locally transitive tournaments, the authors give a new and more direct proof for a classification theorem of \((1,2)\)-symplectic metrics on maximal flag manifolds proved by \textit{N. Cohen, C. J. C. Negreiros} and \textit{L. A. B. San Martin} [Bull. Lond. Math. Soc. 34, 641--649 (2002; Zbl 1066.53118)]. They also give a simple formula for the number of invariant almost complex structures which admit \((1,2)\)-symplectic metrics on a maximal flag manifold.
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locally transitive tournament
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cone-free tournament
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stair-shaped tournament
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\((1,2)\)-symplectic metric
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maximal flag manifold
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