Positive scalar curvature with symmetry
| dc.creator | Hanke, Bernhard | |
| dc.date | 2005-12-13 | |
| dc.date | 2006-12-04 | |
| dc.date.accessioned | 2026-07-07T06:55:10Z | |
| dc.date.available | 2026-07-07T06:55:10Z | |
| dc.description | We show an equivariant bordism principle for constructing metrics of positive scalar curvature that are invariant under a given group action. Furthermore, we develop a new codimension-2 surgery technique which removes singular strata from fixed point free $S^1$-manifolds while preserving equivariant positive scalar curvature. These results are applied to derive the following generalization of a result of Gromov and Lawson: Each closed fixed point free $S^1$-manifold of dimension at least 6 whose isotropy groups have odd order and whose union of maximal orbits is simply connected and not spin carries an $S^1$-invariant metric of positive scalar curvature. | |
| dc.description | 36 pages, 1 figure, minor changes; to appear in J. Reine Angew. Math | |
| dc.identifier | https://arxiv.org/abs/math/0512284 | |
| dc.identifier | http://arxiv.org/abs/math/0512284 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106195 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | primary 53C23, 53C25, 57R85; secondary 57R65 | |
| dc.title | Positive scalar curvature with symmetry | |
| dc.type | text |