We give a new elementary proof of the parallelizability of closed orientable 3-manifolds. We use as the main tool the fact that any such manifold admits a Heegaard splitting.
On Stiefel's parallelizability of 3-manifolds / Bais, Valentina; Zuddas, Daniele. - In: EXPOSITIONES MATHEMATICAE. - ISSN 0723-0869. - STAMPA. - 41/2023:1(2023), pp. 238-243. [10.1016/j.exmath.2023.01.001]
On Stiefel's parallelizability of 3-manifolds
Zuddas Daniele
2023-01-01
Abstract
We give a new elementary proof of the parallelizability of closed orientable 3-manifolds. We use as the main tool the fact that any such manifold admits a Heegaard splitting.File in questo prodotto:
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