The conformal Yamabe constant of product manifolds

Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel

doi:10.1090/S0002-9939-2012-11320-6

The conformal Yamabe constant of product manifolds
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by Bernd Ammann, Mattias Dahl and Emmanuel Humbert PDF

Proc. Amer. Math. Soc. 141 (2013), 295-307 Request permission

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 $( V \times W, g+h)$ in terms of the conformal Yamabe constants of $(V,g)$ and $(W,h)$.

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