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20032012
most citedThe first eigenvalue of Dirac and Laplace operators on surfaces

4 citations · 6 across the 8 of their papers we have counts for

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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…