The Radon Transform for Forms of Type (1, 1) on Complex Projective Space (Erratum).
The Radon Transform for Forms of Type (1, 1) on a Complex Projective Space.
Le formalisme de Hamilton-Cartan en calcul des variations
Prolongements d'équations différentielles linéaires. III. La suite exacte de cohomologie de Spencer
Prolongations of linear partial differential equations. II. Inhomogeneous equations
Prolongations of linear partial differential equations. I. A conjecture of Élie Cartan
Injectivité de la transformation de Radon sur les grassmanniennes
Rigidité infinitésimale des espaces projectifs et des quadriques complexes.
Regularity Theorems in Riemannian Geometry. II. Harmonic Curvature and the Weyl Tensor.
Critère d'exactitude pour les formes de degré 1 sur les quadriques complexes
Déformations infinitésimales des espaces riemanniens localement symétriques. II : la conjecture infinitésimale de Blaschke pour les espaces projectifs complexes
Nous démontrons que toute 2-forme symétrique sur un espace projectif complexe de dimension , muni de sa métrique canonique , qui est d’intégrale nulle sur les géodésiques de , est une dérivée de Lie de la métrique .
Isospectral deformations of the Lagrangian Grassmannians
We study the special Lagrangian Grassmannian , with , and its reduced space, the reduced Lagrangian Grassmannian . The latter is an irreducible symmetric space of rank and is the quotient of the Grassmannian under the action of a cyclic group of isometries of order . The main result of this paper asserts that the symmetric space possesses non-trivial infinitesimal isospectral deformations. Thus we obtain the first example of an irreducible symmetric space of arbitrary rank , which is...
The Hamilton-Cartan formalism in the calculus of variations
We give an exposition of the calculus of variations in several variables. The introduction of a linear differential form studied by Cartan makes possible an invariant treatment of the Hamiltonian formalism. Noether’s theorem, the Hamilton-Jacobi equation and the second variation are discussed and a Poisson bracket is defined.
Connections with prescribed curvature and Yang-Mills currents : the semi-simple case
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