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math.DG2005
An obstruction for the mean curvature of a conformal immersion S^{n}-> R^{n+1}
Bernd Ammann, Emmanuel Humbert, Mohameden Ould Ahmedou
We prove a Pohozaev type identity for non-linear eigenvalue equations of the Dirac operator on Riemannian spin manifolds with boundary. As an application, we obtain that the mean c…
math.DG2005
The second Yamabe invariant
Bernd Ammann, Emmanuel Humbert
Let be a compact Riemannian manifold of dimension . We define the second Yamabe invariant as the infimum of the second eigenvalue of the Yamabe operator over the…
math.DG2005
Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds
Bernd Ammann, Emmanuel Humbert, Bertrand Morel
Let M be a compact manifold equipped with a Riemannian metric g and a spin structure \si. We let $λ(M,[g],\si)= \inf_{\tilde{g} \in [g]} λ_1^+(\tilde{g}) Vol(M,\tilde{g})^{1/n}$ wh…