L-когомологии искривленных цилиндров.
-когомология искривленных произведений липшицевых римановых многообразий
La trilogie du moment
A toute deux-forme fermée, sur une variété connexe, on associe une famille d’extensions centrales du groupe de ses automorphismes par son tore des périodes. On discute ensuite quelques propriétés de cette construction.
Lefschetz theorems for the integral leaves of a holomorphic one-form
Lemme de Morse transverse pour des puissances de formes de volume
Levi forms, differential forms of type (0,1) and pseudoconvexity in Banach spaces
Liftings of 1-forms to the -velocities bundle
Lifts of 1-forms to the tangent bundle of higher order
Local structural stability of integrable 1-forms
In this work we consider a class of germs of singularities of integrable 1-forms in which are structurally stable in class ( if , if ), whose 1-jet is zero at the singularity. In this class the stability depends essentially on the fact that the perturbations allowed are integrable.
Local symplectic algebra of quasi-homogeneous curves
We study the local symplectic algebra of parameterized curves introduced by V. I. Arnold. We use the method of algebraic restrictions to classify symplectic singularities of quasi-homogeneous curves. We prove that the space of algebraic restrictions of closed 2-forms to the germ of a 𝕂-analytic curve is a finite-dimensional vector space. We also show that the action of local diffeomorphisms preserving the quasi-homogeneous curve on this vector space is determined by the infinitesimal action of...