Of the structure of the Euler mapping
On 3-dimensional Lie algebras of vector fields
On a Class of Time Inhomogeneous Nonsingular Flows and Schrödinger Operators.
On a class of weighted function spaces and related pseudodifferential operators
On a Linearization Theorem of Sternberg for Germs of Diffeomorphisms.
On a Purely ?Riemannian" Proof of the Structure and Dimension of the Unramified Moduli Space of a Compact Riemann Surface.
On a synthetic proof of the Ambrose-Palais-Singer theorem for infinitesimally linear spaces
On an energy function for the Weil-Petersson metric on Teichmüller space.
On commuting circle mappings and simultaneous Diophantine approximations.
On -differentiable Fredholm operators of nonstationary initial-boundary value problems
We are dealing with Dirichlet, Neumann and Newton type initial-boundary value problems for a general second order nonlinear evolution equation. Using the Fredholm operator theory we establish some sufficient conditions for Fréchet differentiability of associated operators to the given problems. With help of these results the generic properties, existence and continuous dependency of solutions for initial-boundary value problems are studied.
On -sets and isospectrality
We study finite -sets and their tensor product with Riemannian manifolds, and obtain results on isospectral quotients and covers. In particular, we show the following: If is a compact connected Riemannian manifold (or orbifold) whose fundamental group has a finite non-cyclic quotient, then has isospectral non-isometric covers.
On generic chaos of shifts in function spaces
On groups of smooth maps into a simple compact Lie group.
On manifolds diffeomorphic on the complement of a point
We prove that four manifolds diffeomorphic on the complement of a point have the same Donaldson invariants.
On rank one symmetric space
In this paper we survey some recent results on rank one symmetric space.
On representation of functionals of local type by differential forms
On self-dual pseudo-connections on some orbifolds.
On Singularities of Smooth Maps to a Space with a Fixed Cone.
On some completions of the space of hamiltonian maps
In one of his papers, C. Viterbo defined a distance on the set of Hamiltonian diffeomorphisms of endowed with the standard symplectic form . We study the completions of this space for the topology induced by Viterbo’s distance and some others derived from it, we study their different inclusions and give some of their properties. In particular, we give a convergence criterion for these distances that allows us to prove that the completions contain non-ordinary elements, as for example, discontinuous...
On some questions of topology for S1-valued fractional Sobolev spaces.