A New Approach to the Theory of the Riemann Space
Algebraic geometry and local differential geometry
Basic concepts of the difference geometry
Boundary conditions at past null infinity for zero-rest-mass fields including gravitation
Champs de Yang et Mills variés
Complex characteristic coordinates and tangential Cauchy-Riemann equations
Conditions d’unicité pour le propagateur du champ scalaire dans l’univers de de Sitter
Conformal transformations in superspace
Conformally covariant field equations
Construction of Sobolev spaces of fractional order with sub-riemannian vector fields
Given a smooth family of vector fields satisfying Chow-Hörmander’s condition of step 2 and a regularity assumption, we prove that the Sobolev spaces of fractional order constructed by the standard functional analysis can actually be “computed” with a simple formula involving the sub-riemannian distance.Our approach relies on a microlocal analysis of translation operators in an anisotropic context. It also involves classical estimates of the heat-kernel associated to the sub-elliptic Laplacian.
Convergence and accuracy of approximation methods in general relativity. The time-independent case
CR geometry and Cartan geometry.
Das Gegenstück zu logarithmischen Spirale in der ebenen isotrpen Geometrie.
Differential geometrical relations for a class of formal series
An extension of the category of local manifolds is considered. Instead of smooth mappings of neighbourhoods of linear spaces as morphisms we deal with formal operator power series (or formal maps). Analogues of the objects appearing on smooth manifolds and vector bundles (vector fields, sections of a bundle, exterior forms, the de Rham complex, connection, etc.) are considered in this way. All the examinations are carried out in algebraic language, for we do not care about the convergence of formal...
Électromagnétisme dans l'espace-temps de Kerr
Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents
We formulate the equivalence problem, in the sense of É. Cartan, for families of minimal rational curves on uniruled projective manifolds. An important invariant of this equivalence problem is the variety of minimal rational tangents. We study the case when varieties of minimal rational tangents at general points form an isotrivial family. The main question in this case is for which projective variety , a family of minimal rational curves with -isotrivial varieties of minimal rational tangents...
Espaces-temps non vides à métrique de Taub en relativité générale
Horizons in five-dimensional theory
Laplacian in general Riemannian structures
Le déplacement vers le rouge au voisinage d'une perturbation de la solution cosmologique