Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases (Q616596)
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scientific article; zbMATH DE number 5834477
| Language | Label | Description | Also known as |
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| English | Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases |
scientific article; zbMATH DE number 5834477 |
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Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases (English)
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10 January 2011
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Summary: We define various classes of Sobolev bundles and connections and study their topological and analytical properties. We show that certain kinds of topologies (which depend on the classes) are well-defined for such bundles and they are stable with respect to the natural Sobolev topologies. We also extend the classical Chern-Weil theory for such classes of bundles and connections. Applications related to variational problems for the Yang-Mills functional are also given. For Part I see [Ann. Global Anal. Geom. 35, No. 3, 277--337 (2009; Zbl 1166.58003)].
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Sobolev bundle
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topology of bundle
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Yang-Mills functional
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variational problem
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