Intermediate inversion formulas in integral geometry.
Intersection Homology II.
Introduction to cochains of differential operators
Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications
These notes are intended to provide a self-contained introduction to the basic ideas of finite dimensional Batalin-Vilkovisky (BV) formalism and its applications. A brief exposition of super- and graded geometries is also given. The BV–formalism is introduced through an odd Fourier transform and the algebraic aspects of integration theory are stressed. As a main application we consider the perturbation theory for certain finite dimensional integrals within BV-formalism. As an illustration we present...
Introduction to the theory of semi-holonomic jets.
Introduction to the theory of semi-holonomic jets
Invariant manifolds. I.
Invariant subspaces in higher order jet prolongations of a fibred manifold
We present a generalization of the concept of semiholonomic jets within the framework of higher order prolongations of a fibred manifold. In this respect, a compilation of our 2-fibred manifold approach with the methods of natural operators theory is used.
Invariant variational problems on principal bundles and conservation laws
In this work, we consider variational problems defined by -invariant Lagrangians on the -jet prolongation of a principal bundle , where is the structure group of . These problems can be also considered as defined on the associated bundle of the -th order connections. The correspondence between the Euler-Lagrange equations for these variational problems and conservation laws is discussed.
Invariants de certaines actions de lie instabilité du caractère Fredholm.
Inverse problem of the classical calculus of variations
Involutivity degree of a distribution at superdensity points of its tangencies
Let (with ) be vector fields of class in an open set , let be a -dimensional submanifold of and define where is the tangent space to at . Then we expect the following property, which is obvious in the special case when is an interior point (relative to ) of : If is a -density point (relative to ) of then all the iterated Lie brackets of order less or equal to
Irreducible components of the space of holomorphic foliations.
Isomorphism of de Rham cohomology and relative Hochschild cohomology of differential operators
Isomorphisms of Lie algebras of vector fields
Isospectral deformations of the Lagrangian Grassmannians
We study the special Lagrangian Grassmannian , with , and its reduced space, the reduced Lagrangian Grassmannian . The latter is an irreducible symmetric space of rank and is the quotient of the Grassmannian under the action of a cyclic group of isometries of order . The main result of this paper asserts that the symmetric space possesses non-trivial infinitesimal isospectral deformations. Thus we obtain the first example of an irreducible symmetric space of arbitrary rank , which is...
Isotopie de formes fermées en dimension trois.
Isotropic characteristic classes
Iterated Integrals and Homotopy Periods
Jet geometrical extension of the KCC-invariants.