39 citations · 67 across the 7 of their papers we have counts for
7 papers
Un problème de type Yamabe sur les variétés compactes spinorielles compactes
Bernd Ammann, Emmanuel Humbert, Bertrand Morel
Let $(M,g,\si)$ be a compact spin manifold of dimension . Let be the smallest positive eigenvalue of the Dirac operator in the metric $\tilde{g} \in [g…
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…
A spinorial analogue of Aubin's inequality
Bernd Ammann, Jean-Francois Grosjean, Emmanuel Humbert +1
Let $(M,g,\si)$ be a compact Riemannian spin manifold of dimension . For any metric conformal to , we denote by the first positive eigenvalue of the…
The energy-momentum tensor as a second fundamental form
Bertrand Morel
We show that it is natural to consider the energy-momentum tensor associated with a spinor field as the second fundamental form of an isommetric immersion. In particular we give a…
Surfaces in S^3 and H^3 via Spinors
Bertrand Morel
We generalize the spinorial characterization of isometric immersions of surfaces in R^3 given by T. Friedrich (On the spinor representation of surfaces in Euclidean 3-space, J. Geo…
On eigenvalue estimates for the Dirac operator
N. Ginoux, B. Morel
We give lower bounds for the eigenvalues of the submanifold Dirac operator in terms of intrinsic and extrinsic curvature expressions. We also show that the limiting cases give rise…