Metric non-linear connections on the prolongation of a Lie algebroid to its dual bundle (Q2919596)
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scientific article; zbMATH DE number 6090215
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Metric non-linear connections on the prolongation of a Lie algebroid to its dual bundle |
scientific article; zbMATH DE number 6090215 |
Statements
4 October 2012
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Lie algebroids
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metric nonlinear connection
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dynamical covariant derivative
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regular Hamiltonian
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Metric non-linear connections on the prolongation of a Lie algebroid to its dual bundle (English)
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The author studies geometric structures on Lie algebroids and their characterization in terms of nonlinear connections (i.e., particular almost product structures).NEWLINENEWLINE The main result states that the canonical nonlinear connection induced by a regular Hamiltonian is the unique connection which is metric and symmetric.
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