3 citations · 9 across the 17 of their papers we have counts for
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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…
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…
Mobius fluid dynamics on the unitary groups]{Möbius fluid dynamics on the unitary groups
Daniela Emmanuele, Marcos Salvai, Francisco Vittone
We study the nonrigid dynamics induced by the standard birational actions of the split unitary groups , and …
Harmonic unit normal sections of Grassmannians associated with cross products
Francisco Ferraris, Ruth Paola Moas, Marcos Salvai
Let G(k,n) be the Grassmannian of oriented subspaces of dimension k of R^n with its canonical Riemannian metric. We study the energy of maps assigning to each P \in G(k,n) a unit v…