A relationship between volume, injectivity radius, and eigenvalues.
A spectral estimate for the Dirac operator on Riemannian flows
We give a new upper bound for the smallest eigenvalues of the Dirac operator on a Riemannian flow carrying transversal Killing spinors. We derive an estimate on both Sasakian and 3-dimensional manifolds, and partially classify those satisfying the limiting case. Finally, we compare our estimate with a lower bound in terms of a natural tensor depending on the eigenspinor.
A Spectral Paley-Wiener Theorem.
A spectral problem with an indefinite weight for an elliptic system.
Abelian coverings, Poincaré exponent of convergence and holomorphic deformations.
About a decomposition of the space of symmetric tensors of compact support on a Riemann manifold.
About the Dirac operator.
Addendum: Systems of Toda Type, Inverse Spectral Problems, and Representation Theory.
An addition theorem for the manifolds with the Laplacian having discrete spectrum.
An upper bound for the first eigenvalue of the Dirac operator on compact spin manifolds.
Analyse semi-classique de l'opérateur de Schrödinger sur la sphère
Analytic continuation of representations and estimates of automorphic forms.
Applications of spectral geometry to affine and projective geometry.
Applications of symplectic homology II: Stability of the action spectrum.
Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
We apply Gromov’s ham sandwich method to get: (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in Euclidean space.
Around heat decay on forms and relations of nilpotent Lie groups
Asymptotic expansions and boundary values of eigenfunctions on Riemannian symmetric spaces.
Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane
On montre l’équivalence entre l’hyperbolicité au sens de Gromov de la géométrie de Hilbert d’un domaine convexe du plan et la non nullité du bas du spectre de ce domaine.
Berger's Isoperimetric Problem and Minimal Immersions of Surfaces.
Bifurcation problems for nonlinear elliptic variational inequalities