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arxiv: 1103.1826 · v3 · pith:5SNA5S34new · submitted 2011-03-09 · 🧮 math.DG · math.AP

The conformal Yamabe constant of product manifolds

Bernd Ammann , Mattias Dahl , Emmanuel Humbert This is my paper
classification 🧮 math.DG math.AP
keywords conformalyamabeconstantmanifoldsproductboundcompactconstants
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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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