Interior and exterior differential systems for Lie algebroids (Q2881312)
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scientific article; zbMATH DE number 6021805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interior and exterior differential systems for Lie algebroids |
scientific article; zbMATH DE number 6021805 |
Statements
4 April 2012
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vector bundle
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Lie algebroid
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interior differential system
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exterior differential system
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0.9108954
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0.90130174
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0.89698654
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0.8948692
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Interior and exterior differential systems for Lie algebroids (English)
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In this paper, the author investigates the relationship between the interior differential system (IDS) and the exterior differential system (EDS) for an arbitrary Lie algebroid. More explicitly, he defines the concepts of an interior differential system of a Lie algebroid by using the notion of distribution, and then defines the exterior differential system of that Lie algebroid. After these definitions, he presents the relationship of Cartan type between the IDS and EDS of the Lie algebroids in Theorem 5.1, which is the main result of this paper.
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