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The conformal Yamabe constant of product manifolds

URN to cite this document:
urn:nbn:de:bvb:355-epub-205296
DOI to cite this document:
10.5283/epub.20529
Ammann, Bernd ; Dahl, Matthias ; Humbert, Emmanuel
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Date of publication of this fulltext: 18 Apr 2011 06:29


Abstract

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 x W; g + h) in terms of the conformal Yamabe constants of (V; g) and (W; h).


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