Poincaré Lemma for Tangential Cauchy Riemann Complexes.
Polygône de Newton et -fonctions pour les modules microdifférentiels
Pseudo-differential operators on V-manifolds and foliations (II).
This paper is a continuation of Part I of the same title which has appeared at the last issue of this journal.
Pseudo-laplaciens II
Dans cet article, nous étudions une famille d’opérateurs auto-adjoints dérivés du laplacien sur une surface de Riemann d’aire finie et ayant au voisinage de l’infini la structure d’un cylindre muni d’une métrique à courbure constante . Après avoir étudié la théorie spectrale de tels opérateurs, nous donnons, comme application, un théorème prévoyant l’absence générique de valeurs propres immergées dans le spectre continu du laplacien de ces surfaces. Nous montrons enfin comment ceci permet de...
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach.
We present here a simplified version of recent results obtained with B. Helffer and M. Klein. They are concerned with the exponentally small eigenvalues of the Witten Laplacian on -forms. We show how the Witten complex structure is better taken into account by working with singular values. This provides a convenient framework to derive accurate approximations of the first eigenvalues of and solves efficiently the question of weakly resonant wells.
Quaternionic contact structures in dimension
The conformal infinity of a quaternionic-Kähler metric on a -manifold with boundary is a codimension distribution on the boundary called quaternionic contact. In dimensions greater than , a quaternionic contact structure is always the conformal infinity of a quaternionic-Kähler metric. On the contrary, in dimension , we prove a criterion for quaternionic contact structures to be the conformal infinity of a quaternionic-Kähler metric. This allows us to find the quaternionic-contact structures...
Representations of Compact Lie Groups and Elliptic Operators.
Riesz transform on manifolds and heat kernel regularity
R-torsion associated to infinite dimensional unitary representations.
Singular BGG sequences for the even orthogonal case
Locally exact complexes of invariant differential operators are constructed on the homogeneous model for a parabolic geometry for the even orthogonal group. The tool used for the construction is the Penrose transform developed by R. Baston and M. Eastwood. Complexes constructed here belong to the singular infinitesimal character.
Smoothing effect for Schrödinger evolution equation via commutator algebra
Spectral Geometry and the Kaehler Condition for Complex Manifolds.
Sulle classi di Dolbeault di tipo con singolarità in un insieme discreto
This paper shows how some techniques used for the meromorphic functions of one variable can be used for the explicit construction of a solution to the Mittag-Leffler problem for Dolbeault classes of tipe with singularities in a discrete set of and (a -dimensional complex torus). A generalisation is given for the Weierstrass and the Legendre relations.
Sur l'exactitude des complexes différentiels de type de Lewy
Sur l’opérateur
Symmetries in finite order variational sequences
We refer to Krupka’s variational sequence, i.e. the quotient of the de Rham sequence on a finite order jet space with respect to a ‘variationally trivial’ subsequence. Among the morphisms of the variational sequence there are the Euler-Lagrange operator and the Helmholtz operator. In this note we show that the Lie derivative operator passes to the quotient in the variational sequence. Then we define the variational Lie derivative as an operator on the sheaves of the variational sequence. Explicit...
Systeme von Differentialgleichungen Erster Ordnung vom Elliptischen Typus mit Analytischen Koeffizienten und Methode der Verallgemeinerten Areolaren Reihen
Systèmes différentiels à caractéristiques simples et structures réelles-complexes
The e-invariant and the spectrum of the Lapacian for compact nilmanifolds covered by Heisenberg groups.
The eta invariant and the K-theory of odd dimensional spherical space forms.