Spectral Geometry and the Kaehler Condition for Complex Manifolds.
Spectral Geometry for Certain Noncompact Riemannian Manifolds.
Spectral Geometry of Compact Hermitian Symmetric Submanifolds.
Spectral isolation of bi-invariant metrics on compact Lie groups
We show that a bi-invariant metric on a compact connected Lie group is spectrally isolated within the class of left-invariant metrics. In fact, we prove that given a bi-invariant metric on there is a positive integer such that, within a neighborhood of in the class of left-invariant metrics of at most the same volume, is uniquely determined by the first distinct non-zero eigenvalues of its Laplacian (ignoring multiplicities). In the case where is simple, can be chosen to be two....
Spectre asymptotique du revêtement universel des tores
Spectre conforme et métriques extrémales
Spectre des opérateurs elliptiques et flots hamiltoniens
Spèctre du Laplacian, graphes et topologie de Fell.
Spectre du laplacien
Spectre du Laplacien agissant sur les p-formes différentielles et écrasement d' anses.
Spectre du laplacien et longueurs des géodésiques fermées
Spectre du laplacien et longueurs des géodésiques périodiques. II
Spectre du laplacien et longueurs des géodésiques périodiques. I
Spectrum and Holonomy of the Line Bundle over the Sphere.
Spectrum and the Fixed Point Sets of Isometries. I.
Spectrum generating on twistor bundle
Spectrum generating technique introduced by Ólafsson, Ørsted, and one of the authors in the paper (Branson, T., Ólafsson, G. and Ørsted, B., Spectrum generating operators, and intertwining operators for representations induced from a maximal parabolic subgroups, J. Funct. Anal. 135 (1996), 163–205.) provides an efficient way to construct certain intertwinors when -types are of multiplicity at most one. Intertwinors on the twistor bundle over have some -types of multiplicity 2. With some additional...
Spectrum of 2-dimensional manifolds
Spectrum of a compact flat manifold.
Spectrum of the Laplace operator and periodic geodesics: thirty years after
What is called the “Semi-classical trace formula” is a formula expressing the smoothed density of states of the Laplace operator on a compact Riemannian manifold in terms of the periodic geodesics. Mathematical derivation of such formulas were provided in the seventies by several authors. The main goal of this paper is to state the formula and to give a self-contained proof independent of the difficult use of the global calculus of Fourier Integral Operators. This proof is close in the spirit of...
Spectrum of twisted Dirac operators on the complex projective space
In this paper, we explicitly determine the spectrum of Dirac operators acting on smooth sections of twisted spinor bundles over the complex projective space for .