The Riemann-Hilbert problem for a representation of a higher dimensional homology group on a real manifold (Q2751144)
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scientific article; zbMATH DE number 1664421
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Riemann-Hilbert problem for a representation of a higher dimensional homology group on a real manifold |
scientific article; zbMATH DE number 1664421 |
Statements
21 October 2001
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Riemann-Hilbert type problem
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Fuchs relation
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Gauss-Bonnet theorem
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The Riemann-Hilbert problem for a representation of a higher dimensional homology group on a real manifold (English)
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The authors introduce the concept of regular singularities for higher codimension submanifolds of a real smooth manifold, and formulate Riemann-Hilbert type problem for a homology representation. In the paper, they solve the problem and obtain a Fuchs relation, which turns out to be a theorem of Gauss-Bonnet type. As an application, they obtain the classical Gauss-Bonnet theorem.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00026].
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