Ammann, Bernd and Madani, Farid and Pilca, Mihaela (2017) The S-1-Equivariant Yamabe Invariant of 3-Manifolds. INTERNATIONAL MATHEMATICS RESEARCH NOTICES (20). pp. 6310-6328. ISSN 1073-7928, 1687-0247
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SIMPLY CONNECTED MANIFOLDS; SCALAR CURVATURE; GREATER-THAN; SURGERY; 4-MANIFOLDS; SYMMETRY; METRICS; RP3; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:19 |
| Last Modified: | 21 Feb 2019 13:03 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2087 |
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