Geometry & Topology Volume 20, issue 3 (2016)

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ISSN 1364-0380 (online)

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Riemannian foliations of spheres

Alexander Lytchak and Burkhard Wilking

Geometry & Topology 20 (2016) 1257–1274

DOI: 10.2140/gt.2016.20.1257

Bibliography

1	A Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. 57 (1953) 115 MR0051508
2	W Browder, Higher torsion in H–spaces, Trans. Amer. Math. Soc. 108 (1963) 353 MR0155326
3	A Clément, Integral cohomology of finite Postnikov towers, PhD thesis, Université de Lausanne (2002)
4	É Ghys, Feuilletages riemanniens sur les variétés simplement connexes, Ann. Inst. Fourier (Grenoble) 34 (1984) 203 MR766280
5	D Gromoll, K Grove, The low-dimensional metric foliations of Euclidean spheres, J. Differential Geom. 28 (1988) 143 MR950559
6	K Grove, W Ziller, Curvature and symmetry of Milnor spheres, Ann. Math. 152 (2000) 331 MR1792298
7	A Haefliger, Groupoïdes d’holonomie et classifiants, from: "Transversal structure of foliations", Astérisque 116, Soc. Math. France (1984) 70 MR755163
8	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
9	R Oliver, Weight systems for SO(3)–actions, Ann. Math. 110 (1979) 227 MR549488
10	N Shimada, Differentiable structures on the 15–sphere and Pontrjagin classes of certain manifolds, Nagoya Math. J. 12 (1957) 59 MR0096223
11	E H Spanier, J H C Whitehead, On fibre spaces in which the fibre is contractible, Comment. Math. Helv. 29 (1955) 1 MR0066646
12	R G Swan, The p–period of a finite group, Illinois J. Math. 4 (1960) 341 MR0122856
13	C T C Wall, On the structure of finite groups with periodic cohomology, from: "Lie groups: structure, actions, and representations" (editors A Huckleberry, I Penkov, G Zuckerman), Progr. Math. 306, Birkhäuser (2013) 381 MR3186699
14	B Wilking, Index parity of closed geodesics and rigidity of Hopf fibrations, Invent. Math. 144 (2001) 281 MR1826371
15	J A Wolf, Spaces of constant curvature, McGraw-Hill (1967) MR0217740