À propos des deuxième et troisième espaces de cohomologie de l'algèbre de Lie de Poisson d'une variété symplectique
Continuous and discrete flows and the property of
Deformation of holomorphic maps onto the blow-up of the projective plane
Deformation rigidity of the rational homogeneous space associated to a long simple root
Déformations différentielles à coefficients constants et produits de Moyal généralisés
Deformations of Lie brackets: cohomological aspects
We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which “controls” deformations of the structure bracket of the algebroid.
Differentiability and rigidity of Möbius groups.
Einstein Metrics and Complex Structures.
Flag Structures on Seifert Manifolds.
Infinitesimal automorphisms and deformations of parabolic geometries
We show that infinitesimal automorphisms and infinitesimal deformations of parabolic geometries can be nicely described in terms of the twisted de Rham sequence associated to a certain linear connection on the adjoint tractor bundle. For regular normal geometries, this description can be related to the underlying geometric structure using the machinery of BGG sequences. In the locally flat case, this leads to a deformation complex, which generalizes the well known complex for locally conformally...
Infinitesimal conjugacies and Weil-Petersson metric
We study deformations of compact Riemannian manifolds of negative curvature. We give an equation for the infinitesimal conjugacy between geodesic flows. This in turn allows us to compute derivatives of intersection of metrics. As a consequence we obtain a proof of a theorem of Wolpert.
Jacobi-Bernoulli cohomology and deformations of schemes and maps
We introduce a notion of Jacobi-Bernoulli cohomology associated to a semi-simplicial Lie algebra (SELA). For an algebraic scheme X over ℂ, we construct a tangent SELA J X and show that the Jacobi-Bernoulli cohomology of J X is related to infinitesimal deformations of X.
Moduli of half conformally flat structures.
On deformations of hyperbolic 3-manifolds with geodesic boundary.
On Deformations of Kähler Spaces. I.
On formal theory of differential equations. II.
On the rigidity of horizontal slices.
Particles, phases, fields
The physical properties of particles and phasesare considered in connection with their description by means of the deformation of space-time. The analogy between particle trajectories and phase boundaries is discussed. The geometry and its curvature is related to the Clifford algebraic structure whose construction in terms of the theory of deformation leads to the expected solutions for correlation functions referring to spectroscopy and scattering problems. The stochastic nature of space-time is...
Poisson-Nijenhuis structures
Rigidity of homogeneous contact manifolds under Fano deformation.