40 citations · 105 across the 16 of their papers we have counts for
5 papers · 1 filter
Differential geometry of invariant surfaces in simply isotropic and pseudo-isotropic spaces
Luiz C. B. da Silva
We study invariant surfaces generated by one-parameter subgroups of simply and pseudo isotropic rigid motions. Basically, the simply and pseudo isotropic geometries are the study o…
Characterization of manifolds of constant curvature by spherical curves
Luiz C. B. da Silva, José D. da Silva
It is known that the so-called rotation minimizing (RM) frames allow for a simple and elegant characterization of geodesic spherical curves in Euclidean, hyperbolic, and spherical…
Differential Geometry of Rotation Minimizing Frames, Spherical Curves, and Quantum Mechanics of a Constrained Particle
Luiz C. B. da Silva
This thesis is devoted to the Differential Geometry of curves and surfaces along with applications in Quantum Mechanics. In the 1st part we introduce the well known Frenet frame. L…
Surfaces of revolution with prescribed mean and skew curvatures in Lorentz-Minkowski space
Luiz C. B. da Silva
In this work, we investigate the problem of finding surfaces in the Lorentz-Minkowski 3-space with prescribed skew () and mean () curvatures, which are defined through the di…
The geometry of Gauss map and shape operator in simply isotropic and pseudo-isotropic spaces
Luiz C. B. da Silva
In this work, we are interested in the differential geometry of surfaces in simply isotropic and pseudo-isotropic spaces, which consists…