J. Grosjean

most citedThe first eigenvalue of Dirac and Laplace operators on surfaces

4 citations · 5 across the 2 of their papers we have counts for

collaborators

3 papers

math.DG2006★ 1 cited

A pinching theorem for the first eigenvalue of the laplacian on hypersurface of the euclidean space

Bruno Colbois, Jean-Francois Grosjean

In this paper, we give pinching Theorems for the first nonzero eigenvalue $λ$ of the Laplacian on the compact hypersurfaces of the Euclidean space. Indeed, we prove that if the vol…

math.DG2006★ 4 cited

The first eigenvalue of Dirac and Laplace operators on surfaces

Jean-Francois Grosjean, Emmanuel Humbert

Let $(M, g, σ)$ be a compact Riemmannian surface equipped with a spin structure $σ$ . For any metric $g ~$ on $M$ , we denote by $μ_1 (g ~)$ (resp. $λ_1 (g ~)$ ) the f…

math.DG2003

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 $\geq 2$ . For any metric $g ~$ conformal to $g$ , we denote by $λ ~$ the first positive eigenvalue of the…