-point invariants of real geometries.
Magnetofluiddynamic simple waves in special relativity
Maxwell's equations in the Debye potential formalism
Measuring our universe from galaxy redshift surveys.
Méthodes géométriques dans l’étude des équations d’Einstein
L’étude de l’équation des ondes et de ses perturbations a montré l’importance d’un certain nombre d’objets géométriques, tels que les cônes sortants et rentrants, les champs de Lorentz, des repères isotropes adaptés, etc. Parmi les systèmes d’équations hyperboliques non linéaires, les équations d’Einstein jouent un rôle central ; leur étude a nécessité, dans le cas d’un espace-temps courbe, la construction d’objets analogues à ceux du cas plat, cônes, repères adaptés, etc. La construction de ces...
Metric tensors for homogeneous, isotropic, 5-dimensional pseudo Riemannian models.
Minimal surfaces, the Dirac operator and the Penrose inequality
Minkowski asymptotic spaces in general relativity
Mirror symmetry and conformal flatness in general relativity.
Modular theory, non-commutative geometry and quantum gravity.
Multi-instantons in higher dimensions and superstring solitons.
Multiplicative Cauchy functional equation and the equation of ratios on the Lorentz cone
It is proved that the solution of the multiplicative Cauchy functional equation on the Lorentz cone of dimension greater than two is a power function of the determinant. The equation is solved in full generality, i.e. no smoothness assumptions on the unknown function are imposed. Also the functional equation of ratios, of a similar nature, is solved in full generality.