Weitzenböck formula on Lie algebroids (Q2880832)
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scientific article; zbMATH DE number 6024886
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weitzenböck formula on Lie algebroids |
scientific article; zbMATH DE number 6024886 |
Statements
17 April 2012
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Lie algebroid
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connection
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Hodge star
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Laplace-Beltrami operator
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Ricci curvature
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Weitzenböck formula
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Weitzenböck formula on Lie algebroids (English)
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As is well known, the Weitzenböck formula which gives a relation between the Bochner Laplacian and Beltrami Laplacian operators is one of the important tools in Riemannian and Hermitian geometry. In this article, the authors derive the Weitzenböck formula for Lie algebroids. For this, they define a new operator. Using this new operator, they obtain the main result in Theorem 4.3 of this paper.
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