Volume 21, issue 6 (2021)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Fibrations of $\mathbb{R}^3$ by oriented lines

Michael Harrison

Algebraic & Geometric Topology 21 (2021) 2899–2928
Bibliography
1 T Becker, H Geiges, The contact structure induced by a line fibration of 3 is standard, Bull. Lond. Math. Soc. 53 (2021) 104 MR4224515
2 Y Eliashberg, Classification of contact structures on 3, Int. Math. Res. Not. 1993 (1993) 87 MR1208828
3 J B Etnyre, R Komendarczyk, P Massot, Tightness in contact metric 3–manifolds, Invent. Math. 188 (2012) 621 MR2917179
4 H Gluck, F W Warner, Great circle fibrations of the three-sphere, Duke Math. J. 50 (1983) 107 MR700132
5 M Harrison, Skew flat fibrations, Math. Z. 282 (2016) 203 MR3448380
6 M Harrison, Contact structures induced by skew fibrations of 3, Bull. Lond. Math. Soc. 51 (2019) 887 MR4022434
7 H M Nuchi, Hopf fibrations are characterized by being fiberwise homogeneous, PhD thesis, University of Pennsylvania (2014)
8 H Nuchi, Fiberwise homogeneous geodesic foliations of hyperbolic and Euclidean 3–spaces, Algebr. Geom. Topol. 15 (2015) 3059 MR3426704
9 V Ovsienko, S Tabachnikov, On fibrations with flat fibres, Bull. Lond. Math. Soc. 45 (2013) 625 MR3065032
10 V Ovsienko, S Tabachnikov, Hopf fibrations and Hurwitz–Radon numbers, Math. Intelligencer 38 (2016) 11 MR3576587
11 M Salvai, Global smooth fibrations of 3 by oriented lines, Bull. Lond. Math. Soc. 41 (2009) 155 MR2482001