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math.DG2023
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…
math.DG2021
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…