On Stiefel's parallelizability of 3-manifolds
Geometric Topology
2023-01-04 v2 Differential Geometry
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.
Cite
@article{arxiv.2207.12881,
title = {On Stiefel's parallelizability of 3-manifolds},
author = {Valentina Bais and Daniele Zuddas},
journal= {arXiv preprint arXiv:2207.12881},
year = {2023}
}
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6 pages