Cheeger manifolds and the classification of biquotients
| dc.creator | Totaro, Burt | |
| dc.date | 2002-10-16 | |
| dc.date.accessioned | 2026-07-07T04:52:01Z | |
| dc.date.available | 2026-07-07T04:52:01Z | |
| dc.description | A closed manifold is called a biquotient if it is diffeomorphic to K\G/H for some compact Lie group G with closed subgroups K and H such that K acts freely on G/H. Biquotients are a major source of examples of Riemannian manifolds with nonnegative sectional curvature. We prove several classification results for biquotients: (1) We classify all simply connected rational homology spheres which are diffeomorphic to biquotients. For example, the Gromoll-Meyer exotic sphere is the only exotic sphere of any dimension which is a biquotient. (2) We determine exactly which Cheeger manifolds, the connected sums of two rank-one symmetric spaces, are diffeomorphic to biquotients. For example, CP^2 # CP^2 is a biquotient, but CP^4 # HP^2 is not. (3) There are only finitely many diffeomorphism classes of 2-connected biquotients in each dimension. | |
| dc.description | 41 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210247 | |
| dc.identifier | http://arxiv.org/abs/math/0210247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65317 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 53C20 (Primary) 57T15 (Secondary) | |
| dc.title | Cheeger manifolds and the classification of biquotients | |
| dc.type | text |