Some results on fundamental groups and Betti numbers of Finsler manifolds (Q2888829)
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scientific article; zbMATH DE number 6042650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results on fundamental groups and Betti numbers of Finsler manifolds |
scientific article; zbMATH DE number 6042650 |
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4 June 2012
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Finsler manifold
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Ricci curvature
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the first Betti number
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fundamental group
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Some results on fundamental groups and Betti numbers of Finsler manifolds (English)
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The paper represents a study regarding the relationship between the Ricci curvature and the fundamental groups of Finsler manifolds. For compact Finsler manifolds, the authors give an estimate of the first Betti number and prove two finiteness theorems for fundamental groups. They consider the growth of fundamental groups of Finsler manifolds with almost-nonnegative Ricci curvature.
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