Ammann, Bernd and Grosse, Nadine (2016) Relations Between Threshold Constants for Yamabe Type Bordism Invariants. JOURNAL OF GEOMETRIC ANALYSIS, 26 (4). pp. 2842-2882. ISSN 1050-6926, 1559-002X
Full text not available from this repository. (Request a copy)Abstract
In the work of Ammann et al. it has turned out that the Yamabe invariant on closed manifolds is a bordism invariant below a certain threshold constant. A similar result holds for a spinorial analogon. These threshold constants are characterized through Yamabe-type equations on products of spheres with rescaled hyperbolic spaces. We give variational characterizations of these threshold constants, and our investigations lead to an explicit positive lower bound for the spinorial threshold constants.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SPINORIAL TAU-INVARIANT; SCALAR CURVATURE; DIRAC EIGENVALUE; BOUNDED GEOMETRY; MANIFOLDS; SURGERY; EQUATION; 3-MANIFOLDS; INEQUALITY; OPERATOR; Dirac operator; Yamabe constant; Yamabe invariant; Conformal Hijazi inequality |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Apr 2019 12:50 |
| Last Modified: | 26 Apr 2019 13:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4251 |
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