5 citations · 14 across the 10 of their papers we have counts for
11 papers
Reductions of path structures and classification of homogeneous structures in dimension three
Elisha Falbel, Martin Mion-Mouton, Jose M. Veloso
In this paper we show that if a path structure has non-vanishing curvature at a point then it has a canonical reduction to a Z/2Z-structure at a neighbourhood of that point (in man…
A global invariant for path structures and second order differential equations
Elisha Falbel, Jose Miguel Veloso
We study a global invariant for path structures. The invariant is obtained as a secondary invariant from a Cartan connection on a canonical bundle associated to a path structure. I…
Nonlinear Spencer operators on differentiable groupoids
J. M. M. Veloso
We construct the first, second and sophisticated non-linear and linear Spencer complexes for a differentiable Lie groupoid . To do this, we extend the diagonal calculus, as appl…
Cartan connections and path structures with large automorphisms groups
Elisha Falbel, Martin Mion-Mouton, Jose Miguel Veloso
We classify compact manifolds of dimension three equipped with a path structure and a fixed contact form (which we refer to as a strict path structure) under the hypothesis that th…
Limit of Gaussian and normal curvatures of surfaces in Riemannian approximation scheme for sub-Riemannian three dimensional manifolds and Gauss-Bonnet theorem
Jose Veloso
The authors Balogh-Tyson-Vecchi in arXiv:1604.00180 utilize the Riemannian approximations scheme , in the Heisenberg group, introduced by Gromov, to calculate…
Rotation surfaces of constant Gaussian curvature as Riemannian approximation scheme in sub-Riemannian Heisenberg space
José M. M. Veloso
We verify if Gausssian curvature of surfaces and normal curvature of curves in surfaces introduced by Diniz-Veloso arXiv:1210.7110 and by Balogh-Tyson-Vecchi arXiv:1604.00180 to pr…
Flag structures on real 3-manifolds
E Falbel, J Veloso
We define flag structures on a real three manifold M as the choice of two complex lines on the complexified tangent space at each point of M. We suppose that the plane field define…
First variation of the Hausdorff measure of non-horizontal submanifolds in stratified Lie groups
Marcos M. Diniz, Maria R. B. Santos, José M. M. Veloso
We determine necessary conditions for a non-horizontal submanifold of a sub-Riemannian stratified Lie group to be of minimal measure. We calculate the first variation of the measur…
Diffeomorphisms preserving R-circles in three dimensional CR manifolds
E. Falbel, J. M. Veloso
R-circles in general three dimensional CR manifolds (of contact type) are the analogues to traces of Lagrangian totally geodesic planes on the sphere viewed as the boundary of two…
Gauss-Bonnet theorem in sub-Riemannian Heisenberg space
José M. M. Veloso, Marcos M. Diniz
We prove a version of Gauss-Bonnet theorem in sub-Riemannian Heisenberg space . The sub-Riemannian distance makes a metric space and consenquently with a spherical Hausd…
Isomorphism of Intransitive Linear Lie Equations
Jose Miguel Martins Veloso
We show that formal isomorphism of intransitive linear Lie equations along transversal to the orbits can be extended to neighborhoods of these transversal. In analytic cases, the w…