40 citations · 105 across the 16 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.DG2017★ 9 cited
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…
math.DG2017★ 13 cited
Rotation minimizing frames and spherical curves in simply isotropic and pseudo-isotropic 3-spaces
Luiz C. B. da Silva
In this work, we are interested in the differential geometry of curves in the simply isotropic and pseudo-isotropic 3-spaces, which are examples of Cayley-Klein geometries whose ab…
math.DG2017
Characterization of Spherical and Plane Curves Using Rotation Minimizing Frames
Luiz C. B. da Silva
In this work, we study plane and spherical curves in Euclidean and Lorentz-Minkowski 3-spaces by employing rotation minimizing (RM) frames. By conveniently writing the curvature an…