Ammann, Bernd and Dahl, Mattias and Humbert, Emmanuel (2011) Square-integrability of solutions of the Yamabe equation. Preprintreihe der Fakultät Mathematik 34/2011, Working Paper.
We show that solutions of the Yamabe equation on certain n- dimensional non-compact Riemannian manifolds which are bounded and Lp for p = 2n=(n-2) are also L2. This Lp-L2-implication provides explicit constants in the surgery-monotonicity formula for the smooth Yamabe invariant in our article . As an application we see that the smooth Yamabe invariant of any 2- connected compact ...
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|Item Type:||Monograph (Working Paper)|
|Institutions:||Mathematics > Prof. Dr. Bernd Ammann|
|Keywords:||Yamabe invariant, surgery, Lp-L2 implication|
|Subjects:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||19 Dec 2011 10:07|
|Last Modified:||13 Mar 2014 18:19|