On Stiefel's parallelizability of 3-manifolds (Q2695004)
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scientific article; zbMATH DE number 7669876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Stiefel's parallelizability of 3-manifolds |
scientific article; zbMATH DE number 7669876 |
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On Stiefel's parallelizability of 3-manifolds (English)
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30 March 2023
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In the paper under review, the authors give a new elementary proof of the parallelizability of closed orientable 3-manifolds by using Heegaard splittings, Morse theory, vector bundles, homology and linear algebra as follows: \textbf{Stiefel's Parallelizability Theorem.} Every smooth closed orientable 3-manifold is parallelizable.
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parallelization
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trivial tangent bundle
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frame field
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3-manifold
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