22 citations · 71 across the 16 of their papers we have counts for
18 papers
Tight polyhedral embeddings and relative chromatic number of surfaces with boundary
Pierre Jammes
The relative chromatic number of a compact surface with boundary is defined as the supremum of the chromatic numbers of graphs embedded in with all vertices on $\…
Multiplicité du spectre de Steklov sur les surfaces et nombre chromatique
Pierre Jammes
We prove several results about the multiplicity of the first Steklov eigenvalues on compact surfaces with boundary. We improve some bounds on the multiplicity, especially for the f…
Une inégalité de Cheeger pour le spectre de Steklov
Pierre Jammes
We prove a Cheeger inequality for the first positive Steklov eigenvalue. It involves two isoperimetric constants.
Prescription du spectre de Steklov dans une classe conforme
Pierre Jammes
On any compact manifold of dimension with boundary, we prescibe any finite part of the Steklov spectrum whithin a given conformal class. In particular, we prescribe the mu…
Spectre et géométrie conforme des variétés compactes à bord
Pierre Jammes
We prove that on any compact manifold with boundary, there exist a conformal class such that for any riemannian metric , $λ_1(M^n,g)Vol(M^n,g)^{2/n}< n.Vol(S^n,g_…
Sur la multiplicité des valeurs propres du laplacien de Witten
Pierre Jammes
On any compact manifold of dimension greater than 4, we prescribe the volume and any finite part of the spectrum of the Witten Laplacian acting on -form for . In particul…
Minoration du spectre des variétés hyperboliques de dimension 3
Pierre Jammes
Let be a compact hyperbolic 3-manifold of diameter and volume . If denotes the -th egenvalue of the Hodge laplacian acting on coexact 1-forms of , we…
Un théorème de la masse positive pour le problème de Yamabe en dimension paire
Pierre Jammes
Let be a compact conformally flat manifold of dimension with positive scalar curvature. According to a positive mass theorem by Schoen and Yau, the constant term i…
Extrema de valeurs propres dans une classe conforme
Pierre Jammes
Survey about extremum of eigenvalues of geometric operators within a conformal class of a compact riemannian manifold.
Prescription de la multiplicité des valeurs propres du laplacien de Hodge-de Rham
Pierre Jammes
On any compact manifold of dimension greater than 6, we prescribe the volume and any finite part of the spectrum Hodge Laplacian acting on -form for . In parti…
Première valeur propre du laplacien, volume conforme et chirurgies
Pierre Jammes
We define a new differential invariant a compact manifold by , where is the conformal volume of for the conformal class ,…
Construction de valeurs propres doubles du laplacien de Hodge-de Rham
Pierre Jammes
On any compact manifold of dimension greater than 3, we exhibit a metric whose first positive eigenvalue for the Laplacian acting on p-form is of multiplicity 2. As a corollary, we…
Effondrements et petites valeurs propres des formes différentielles
Pierre Jammes
Short survey about small eigenvalues of the Hodge Laplacian under bounded curvature collapsing.
Minoration conforme du spectre du laplacien de Hodge-de Rham
Pierre Jammes
Let be a n-dimensional compact manifold, with . For any conformal class C of riemannian metrics on M, we set $μ_k^c(M,C)=\inf_{g\in C}μ_{[\frac n2],k}(M,g)\Vol(M,g)^{…
Prescription du spectre du laplacien de Hodge-de Rham dans une classe conforme
Pierre Jammes
For any compact manifold of dimension n>=5, we prescribe the volume and any finite part of the spectrum of the Hodge Laplacian acting on diffential forms of degree 1<p<n-1 (exept f…
Sur le spectre du laplacien des fibrés en tores qui s'effondrent
Pierre Jammes
We study the small eigenvalues of the Hodge Laplacian on collaping torus bundles with bounded curvature. In the first part of this dissertation, we consider examples of bundles on…
Effondrement, spectre et propriétés diophantiennes des flots riemanniens
Pierre Jammes
Let F be a riemannian flow on a closed manifold M. We study the behavior of the first eigenvalues of the Hodge Laplacian acting on differential forms under adiabatic collapsing of…
Petite valeurs propres des fibrés principaux en tores
Pierre Jammes
Let M^n be a compact n-dimensional principal T^k-bundle. We consider collapsings of M on N=M/T^k such that the diameter and sectional curvature of M satisfy diam(M)<d and |K(M)|<a,…