On 3-dimensional CR-manifolds
On 3-dimensional Lie algebras of vector fields
On Holomorphic Vector Bundles Over Linearly Concave Manifolds.
On integral manifolds for vector space distributions.
On Tanaka's prolongation procedure for filtered structures of constant type.
On the existence of a codimension 1 completely integrable totally geodesic distribution on a pseudo-Riemannian Heisenberg group.
On the geometry of Goursat structures
A Goursat structure on a manifold of dimension is a rank two distribution such that dim , for , where denote the elements of the derived flag of , defined by and . Goursat structures appeared first in the work of von Weber and Cartan, who have shown that on an open and dense subset they can be converted into the so-called Goursat normal form. Later, Goursat structures have been studied by Kumpera and Ruiz. In the paper, we introduce a new local invariant for Goursat structures, called...
On the Geometry of Goursat Structures
A Goursat structure on a manifold of dimension n is a rank two distribution Ɗ such that dim Ɗ(i) = i + 2, for 0 ≤ i ≤ n-2, where Ɗ(i) denote the elements of the derived flag of Ɗ, defined by Ɗ(0) = Ɗ and Ɗ(i+1) = Ɗ(i) + [Ɗ(i),Ɗ(i)] . Goursat structures appeared first in the work of von Weber and Cartan, who have shown that on an open and dense subset they can be converted into the so-called Goursat normal form. Later, Goursat structures have been studied by Kumpera and Ruiz. In the paper, we introduce...
On the induced geometric object on submanifolds of homogeneous spaces
On the natural operators transforming vector fields to the -th tensor power
On the Prolongations of Differentiable Distributions
On the transversal distribution and the complete figure in the second order multiple integral problem in the calculus of variations.
On the transversal distribution and the complete figure in the second order multiple integral problem in the calculus of variations.