A classification of Monge-Ampère equations
A double complex related with a system of partial differential equations. II
A double complex related with a system of partial differential equations. I
A functorial approach to differential characters.
A generalization of the exterior product of differential forms combining Hom-valued forms
This article deals with vector valued differential forms on -manifolds. As a generalization of the exterior product, we introduce an operator that combines -valued forms with -valued forms. We discuss the main properties of this operator such as (multi)linearity, associativity and its behavior under pullbacks, push-outs, exterior differentiation of forms, etc. Finally we present applications for Lie groups and fiber bundles.
A geometric solution to the dynamic disturbance decoupling for discrete-time nonlinear systems
The notion of controlled invariance under quasi-static state feedback for discrete-time nonlinear systems has been recently introduced and shown to provide a geometric solution to the dynamic disturbance decoupling problem (DDDP). However, the proof relies heavily on the inversion (structure) algorithm. This paper presents an intrinsic, algorithm-independent, proof of the solvability conditions to the DDDP.
A short proof of the Hölder-Poincaré duality for -cohomology
A volume form on the SU(2)-representation space of knot groups.
Affine connections on almost para-cosymplectic manifolds
Identities for the curvature tensor of the Levi-Cività connection on an almost para-cosymplectic manifold are proved. Elements of harmonic theory for almost product structures are given and a Bochner-type formula for the leaves of the canonical foliation is established.
Algèbres de Maurer-Cartan et Holonomie
All linear and bilinear natural concomitants of vector valued differential forms
An application of stress energy tensor to the vanishing theorem of differential forms.
An essay on the Interpolation Theorem of Józef Marcinkiewicz - Polish patriot
An Example of Moduli for Singular Symplec-tic Forms
Another approach to the classical calculus of variations. I
Another approach to the classical calculus of variations. III
Applications de Dulac et applications pfaffiennes
Around heat decay on forms and relations of nilpotent Lie groups