79 citations · 378 across the 29 of their papers we have counts for
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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★ 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…
gr-qc2011★ 34 cited
A limit equation associated to the solvability of the vacuum Einstein constraint equations using the conformal method
Mattias Dahl, Romain Gicquaud, Emmanuel Humbert
Let be a compact Riemannian manifold on which a trace-free and divergence-free and a positive function , , are fixed. In this paper, we…