Scalar and density concomitants of tensor with the valence (1, 2) in a 2-dimensional space
Second order differential invariants of linear frames.
Slant and Legendre curves in Bianchi-Cartan-Vranceanu geometry
We study Legendre and slant curves for Bianchi-Cartan-Vranceanu metrics. These curves are characterized through the scalar product between the normal at the curve and the vertical vector field and in the helix case they have a proper (non-harmonic) mean curvature vector field. The general expression of the curvature and torsion of these curves and the associated Lancret invariant (for the slant case) are computed as well as the corresponding variant for some particular cases. The slant (particularly...
Some algebraic models for differential geometry of second order [Abstract of thesis]
Some Natural Constructions on Vector Fields and Higher Order Cotangent Bundles.
Some natural operators on vector fields
We determine all natural operators transforming vector fields on a manifold to vector fields on , , and all natural operators transforming vector fields on to functions on , . We describe some relations between these two kinds of natural operators.
Some new conformal covariants.
Special Grassmann manifolds in the projective space
Structure of the kernel of higher spin Dirac operators
Polynomials on with values in an irreducible -module form a natural representation space for the group . These representations are completely reducible. In the paper, we give a complete description of their decompositions into irreducible components for polynomials with values in a certain range of irreducible modules. The results are used to describe the structure of kernels of conformally invariant elliptic first order systems acting on maps on with values in these modules.
Sur la détermination de certains sous-groupes du groupe à l’aide d’équations fonctionnelles [Book]
Sur les comitantes algébriques des objets géométriques non transitifs
Sur les fibrés d'objets géométriques et leurs applications physiques
Sur les symétries des structures géométriques rigides
Nous présentons des résultats de classification pour des variétés lorentziennes de dimension trois avec “beaucoup” de symétries locales.
Surfaces in general affine space