Lytchak, Alexander and Wilking, Burkhard (2016). Riemannian foliations of spheres. Geom. Topol., 20 (3). S. 1257 - 1275. COVENTRY: GEOMETRY & TOPOLOGY PUBLICATIONS. ISSN 1364-0380
Full text not available from this repository.Abstract
We show that a Riemannian foliation on a topological n-sphere has leaf dimension 1 or 3 unless n = 1 5 and the Riemannian foliation is given by the fibers of a Riemannian submersion to an 8-dimensional sphere. This allows us to classify Riemannian foliations on round spheres up to metric congruence.
| Item Type: | Journal Article | ||||||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-289050 | ||||||||||||
| DOI: | 10.2140/gt.2016.20.1257 | ||||||||||||
| Journal or Publication Title: | Geom. Topol. | ||||||||||||
| Volume: | 20 | ||||||||||||
| Number: | 3 | ||||||||||||
| Page Range: | S. 1257 - 1275 | ||||||||||||
| Date: | 2016 | ||||||||||||
| Publisher: | GEOMETRY & TOPOLOGY PUBLICATIONS | ||||||||||||
| Place of Publication: | COVENTRY | ||||||||||||
| ISSN: | 1364-0380 | ||||||||||||
| Language: | English | ||||||||||||
| Faculty: | Faculty of Mathematics and Natural Sciences | ||||||||||||
| Divisions: | Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute | ||||||||||||
| Subjects: | no entry | ||||||||||||
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| Refereed: | Yes | ||||||||||||
| URI: | http://kups.ub.uni-koeln.de/id/eprint/28905 |
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