# A note on skew-Hopf fibrations

@inproceedings{Gage1985ANO,
title={A note on skew-Hopf fibrations},
author={Michael E. Gage},
year={1985}
}
Each great circle fibration of the unit 3-sphere in 4-space can be identified with a subset of the Grassmann manifold of oriented 2-planes in 4-space by associating each great circle fiber with the 2-plane it lies in. This Grassmann manifold can be identified with the space S2 X 52. H. Gluck and F. Warner, in Great circle fibrations of the three sphere, Duke Math. J. 50 (1983), 107-132, have shown that the subsets of this Grassmann manifold which correspond to great circle fibrations can be…
9 Citations
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