The conformal Yamabe constant of product manifolds

Details The conformal Yamabe constant of product manifolds The conformal Yamabe constant of product manifolds

2011-03-09

arxiv.org/abs/1103.1826v2

Mathematics

Differential Geometry

12 pages, to appear in Proc. AMS

Scientific paper

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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