58 citations · 112 across the 16 of their papers we have counts for
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Curves and surfaces making a constant angle with a parallel transported direction in Riemannian spaces
Luiz C. B. da Silva, Gilson S. Ferreira, José D. da Silva
In the last two decades, much effort has been dedicated to studying curves and surfaces according to their angle with a given direction. However, most findings were obtained using…
Characterization of manifolds of constant curvature by ruled surfaces
Luiz C. B. da Silva, José D. da Silva
We investigate ruled surfaces in 3d Riemannian manifolds, i.e., surfaces foliated by geodesics. In 3d space forms, we find the striction curve, distribution parameter, and the firs…
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…
Characterization of curves that lie on a geodesic sphere or on a totally geodesic hypersurface in a hyperbolic space or in a sphere
Luiz C. B. da Silva, José Deibsom da Silva
The consideration of the so-called rotation minimizing frames allows for a simple and elegant characterization of plane and spherical curves in Euclidean space via a linear equatio…