# The conformal Yamabe constant of product manifolds

by

Bernd Ammann, Mattias Dahl, Emmanuel Humbert

**The conformal Yamabe constant of product manifolds**
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*Proc. AMS* **141**, *295-307* (2013)

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

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).
35J60 (Primary), 35P30, 58J50, 58C40 (Secondary)
### Keywords

Yamabe constant, Yamabe invariant, product manifolds

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The Paper was written on 5.3.2011

Last update 22.6.2011