Constancy of Jacobi osculating rank of g.o. spaces of compact and non-compact type (Q542076)
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scientific article; zbMATH DE number 5905318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constancy of Jacobi osculating rank of g.o. spaces of compact and non-compact type |
scientific article; zbMATH DE number 5905318 |
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Constancy of Jacobi osculating rank of g.o. spaces of compact and non-compact type (English)
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8 June 2011
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The authors prove that the Jacobi osculating rank is not always constant for a non-naturally reductive g.o. space \(M\) that is either compact, or admits a transitive non-compact semisimple Lie group of isometries.
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naturally reductive homogeneous space
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g.o. space
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Jacobi operator
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Jacobi osculating rank
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