The conformal Yamabe constant of product manifolds
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) $.
References
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) $.
References
Abstract
Let and be compact Riemannian manifolds of dimension at least . We derive a lower bound for the conformal Yamabe constant of the product manifold in terms of the conformal Yamabe constants of and . References
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