Bochner's method for cell complexes and combinatorial Ricci curvature (Q1404506)
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scientific article; zbMATH DE number 1969090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bochner's method for cell complexes and combinatorial Ricci curvature |
scientific article; zbMATH DE number 1969090 |
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Bochner's method for cell complexes and combinatorial Ricci curvature (English)
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21 August 2003
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An original notion of combinatorial scalar curvature of cells in a cell complex is proposed. Properties of the Ricci curvature of a cell complex are studied and compared with corresponding properties of Riemannian manifolds. An analogue of the classical Bochner theorem about topological characteristics of a cell complex with positive combinatorial curvature is proved.
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cell complex
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combinatorial Ricci curvature
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Bochner theorem
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