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arXiv · 1103.1826

The conformal Yamabe constant of product manifolds

Bernd Ammann·Mattias Dahl·Emmanuel Humbert
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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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Bernd Ammann, Mattias Dahl, Emmanuel Humbert. 2013-04-05. The conformal Yamabe constant of product manifolds. https://doi.org/10.1090/s0002-9939-2012-11320-6

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