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The conformal Yamabe constant of product manifolds
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-9184-1467
2013 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 141, no 1, 295-307 p.Article in journal (Refereed) Published
Abstract [en]

Let (V, g) and (W, h) be compact Riemannian manifolds of dimension at least 3. We derive a lower bound for the conformal Yamabe constant of the product manifold (V × W, g + h) in terms of the conformal Yamabe constants of (V, g) and (W, h).

Place, publisher, year, edition, pages
2013. Vol. 141, no 1, 295-307 p.
Keyword [en]
Product manifolds, Yamabe constant, Yamabe invariant
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-106172DOI: 10.1090/S0002-9939-2012-11320-6ISI: 000326513700026Scopus ID: 2-s2.0-84868119184OAI: oai:DiVA.org:kth-106172DiVA: diva2:572895
Funder
Swedish Research Council
Note

QC 20121129

Available from: 2012-11-29 Created: 2012-11-29 Last updated: 2017-12-07Bibliographically approved

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Dahl, Mattias

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