Deformations de feuilletages

Deformations of anti-de Sitter black holes

Loop Space and Deformations of De Rham Cohomology

We show that the deformations of the de Rham cohomology of a closed simply connected KK ahler manifold are governed by the dual of real-valued cohomology of its free loop space. A currently very active eld in Mathematics is the theory of quantum cohomol-ogy, which provides a special kind of deformations of the multiplication structure on the de Rham cohomology of symplectic manifolds. The mathe...

PT -symmetric Deformations of the Korteweg-de Vries Equation

We propose a new family of complex PT -symmetric extensions of the Korteweg-de Vries equation. The deformed equations can be associated to a sequence of non-Hermitian Hamiltonians. The first charges related to the conservation of mass, momentum and energy are constructed. We investigate solitary wave solutions of the equation of motion for various boundary conditions.

Procrustean statistical inference of deformations

A two step method has been devised for the statistical inference of deformation changes. In the first step of this method and based on Procrustes analysis of deformation tensors, the significance of the change in a time or space series of deformation tensors is statistically analyzed. In the second step significant change(s) in deformations are localized. In other words, they are assigned to ce...

Equivariant Cohomology of Loop Space and Frobenius Deformations of De Rham Cohomology

We show that the graded Frobenius formal deformations of the de Rham cohomology of a closed simply connected KK ahler manifold are governed by the dual of real-valued cohomology of its free loop space. This is a sequel to 9] in which the author showed that the deformations of the de Rham cohomology of a closed simply connected KK ahler manifold are governed by the dual of the real-valued cohomo...