Ammann, Bernd ; Dahl, Mattias ; Humbert, Emmanuel
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| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Communications in Analysis and Geometry |
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| Verlag: | INT PRESS BOSTON, INC |
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| Ort der Veröffentlichung: | SOMERVILLE |
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| Band: | 21 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 5 |
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| Seitenbereich: | S. 891-916 |
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| Datum: | 2013 |
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| Institutionen: | Mathematik > Prof. Dr. Bernd Ammann |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.4310/CAG.2013.v21.n5.a2 | DOI |
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| Stichwörter / Keywords: | SCALAR CURVATURE; SPIN COBORDISM; MANIFOLDS; INVARIANT; SURGERY; |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 61997 |
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Zusammenfassung
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 ...
Zusammenfassung
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.
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