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On Stiefel's parallelizability of 3-manifolds - MaRDI portal

On Stiefel's parallelizability of 3-manifolds (Q2695004)

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scientific article; zbMATH DE number 7669876
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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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