Ammann, Bernd, Madani, Farid and Pilca, Mihaela
(2016)
The -Equivariant Yamabe Invariant of 3-Manifolds.
International Mathematics Research Notices, rnw194.
Full text not available from this repository.
Other URL: http://doi.org/10.1093/imrn/rnw194
Abstract
We show that the S-1-equivariant Yamabe invariant of the 3-sphere, endowed with the Hopf action, is equal to the (non-equivariant) Yamabe invariant of the 3-sphere. More generally, we establish a topological upper bound for the S-1-equivariant Yamabe invariant of any closed oriented 3-manifold endowed with an S-1-action. Furthermore, we prove a convergence result for the equivariant Yamabe constants of an accumulating sequence of subgroups of a compact Lie group acting on a closed manifold.
Export bibliographical data
| Item type: | Article | ||||
|---|---|---|---|---|---|
| Date: | 2016 | ||||
| Institutions: | Mathematics > Prof. Dr. Bernd Ammann | ||||
| Identification Number: |
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| Keywords: | SIMPLY CONNECTED MANIFOLDS; SCALAR CURVATURE; GREATER-THAN; SURGERY; 4-MANIFOLDS; SYMMETRY; METRICS; RP3; | ||||
| Dewey Decimal Classification: | 500 Science > 510 Mathematics | ||||
| Status: | Published | ||||
| Refereed: | Yes, this version has been refereed | ||||
| Created at the University of Regensburg: | Yes | ||||
| Item ID: | 39718 |
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