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Showing 2011 · math.DGShow all
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math.DG2011★ 4 cited
Square-integrability of solutions of the Yamabe equation
Bernd Ammann, Mattias Dahl, Emmanuel Humbert
We show that solutions of the Yamabe equation on certain n-dimensional non-compact Riemannian manifolds which are bounded and L^p for p=2n/(n-2) are also L^2. This L^p-L^2-implicat…
math.DG2011
Caccioppoli's inequalities on constant mean curvature hypersurfaces in Riemannian manifolds
Said Ilias, Barbara Nelli, Marc Soret
This is a revised version (minor changes and a deeper insight in the positive curvature case). We prove some Caccioppoli's inequalities for the traceless part of the second fundame…
math.DG2011★ 6 cited
The conformal Yamabe constant of product manifolds
Bernd Ammann, Mattias Dahl, Emmanuel Humbert
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…