Cohomologie relative de formes non exceptionnelles
Cohomology of the Lagrange complex
Cohomology of the variational complex in the class of exterior forms of finite jet order.
Cohomology Theories In Synthetic Differential Geometry.
Combinatorial differential geometry and ideal Bianchi–Ricci identities II – the torsion case
This paper is a continuation of [2], dealing with a general, not-necessarily torsion-free, connection. It characterizes all possible systems of generators for vector-field valued operators that depend naturally on a set of vector fields and a linear connection, describes the size of the space of such operators and proves the existence of an ‘ideal’ basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi–Ricci identities without corrections.
Combinatorial Hodge Theory and Signature Operator.
Combinatorics of curvature, and the Bianchi identity.
Combinatorics of non-holonomous jets
Comparative smootheology.
Comparing homologies: Cech's theory, singular chains, integral flat chains and integral currents.
Complex velocities on real manifolds
Complexes of partial differential operators
Conditions de Whitney et sections planes.
Cône normal et régularités de Kuo-Verdier
Nous introduisons de nouvelles régularités de Kuo-Verdier et montrons que pour une stratification
Configuration spaces and Vassiliev classes in any dimension.
Conformal curvature for the normal bundle of a conformal foliation
It is proved that the normal bundle of a distribution on a riemannian manifold admits a conformal curvature if and only if is a conformal foliation. Then is conformally flat if and only if vanishes. Also, the Pontrjagin classes of can be expressed in terms of .
Conformal harmonic forms, Branson–Gover operators and Dirichlet problem at infinity
For odd-dimensional Poincaré–Einstein manifolds , we study the set of harmonic -forms (for ) which are (with ) on the conformal compactification of . This set is infinite-dimensional for small but it becomes finite-dimensional if is large enough, and in one-to-one correspondence with the direct sum of the relative cohomology and the kernel of the Branson–Gover [3] differential operators on the conformal infinity . We also relate the set of forms in the kernel of to the conformal...
Conformal structures associated to generic rank 2 distributions on 5-manifolds -- characterization and Killing-field decomposition.
Congruences of surfaces in
Connections and 1-jet fiber bundles