activity
20122022
most citedLimit of Gaussian and normal curvatures of surfaces in Riemannian approximation scheme for sub-Riemannian three dimensional manifolds and Gauss-Bonnet theorem

5 citations · 14 across the 4 of their papers we have counts for

collaborators

5 papers

math.DG2022

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…

math.DG20205 cited

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…

math.DG20195 cited

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…

math.DG2018

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…

math.DG20124 cited

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…