3 citations · 9 across the 17 of their papers we have counts for
19 papers
Outer billiards in the complex hyperbolic plane
Yamile Godoy, Marcos Salvai
Given a quadratically convex compact connected oriented hypersurface of the complex hyperbolic plane, we prove that the characteristic rays of the symplectic form restricted to…
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…
Tangent ray foliations and their associated outer billiards
Yamile Godoy, Michael Harrison, Marcos Salvai
Let be a unit vector field on a complete, umbilic (but not totally geodesic) hypersurface in a space form; for example on the unit sphere …
A split special Lagrangian calibration associated with frame vorticity
Marcos Salvai
Let M be an oriented three-dimensional Riemannian manifold. We define a notion of vorticity of local sections of the bundle SO(M) --> M of all its positively oriented orthonormal t…