3 citations · 3 across the 4 of their papers we have counts for
5 papers
The sub-Riemannian length spectrum for screw motions of constant pitch on flat and hyperbolic 3-manifolds
Marcos Salvai
Let M be an oriented three-dimensional Riemannian manifold of constant sectional curvature k = 0,1,-1 and let SO(M) be its direct orthonormal frame bundle (direct refers to positiv…
The sub-Riemannian geometry of screw motions with constant pitch
Eduardo Hulett, Ruth Paola Moas, Marcos Salvai
We consider a family of Riemannian manifolds M such that for each unit speed geodesic gamma of M there exists a distinguished bijective correspondence L between infinitesimal trans…
Infinitesimally helicoidal motions with fixed pitch of oriented geodesics of a space form
Mateo Anarella, Marcos Salvai
Let L be the manifold of all (unparametrized) oriented lines of R^3. We study the controllability of the control system in L given by the condition that a curve in L describes at e…
Centro-affine invariants and the canonical Lorentz metric on the space of centered ellipses
Marcos Salvai
We consider smooth plane curves which are convex with respect to the origin. We describe centro-affine invariants (that is, GL_+(2,R)-invariants), such as centro-affine curvature a…
Global smooth geodesic foliations of the hyperbolic space
Yamile Godoy, Marcos Salvai
We consider foliations of the whole three dimensional hyperbolic space H^3 by oriented geodesics. Let L be the space of all the oriented geodesics of H^3, which is a four dimension…