Ammann, Bernd and Dahl, Mattias and Humbert, Emmanuel (2013) Square-integrability of solutions of the Yamabe equation. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 21 (5). pp. 891-916. ISSN 1019-8385, 1944-9992
Full text not available from this repository. (Request a copy)Abstract
We show that solutions of the Yamabe equation on certain n-dimensional non-compact Riemannian manifolds, which are bounded and L-p for p = 2n/(n -2) are also L-2. This L-p-L-2 implication provides explicit constants in the surgery-monotonicity formula for the smooth Yamabe invariant in our paper [4]. As an application we see that the smooth Yamabe invariant of any two-connected compact seven-dimensional manifold is at least 74.5. Similar conclusions follow in dimension 8 and in dimensions >= 11.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SCALAR CURVATURE; SPIN COBORDISM; MANIFOLDS; INVARIANT; SURGERY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 24 Mar 2020 13:08 |
| Last Modified: | 06 Apr 2020 05:31 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15563 |
Actions (login required)
 |
View Item |
