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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…
math.DS2021★ 2 cited
Outer billiards in the spaces of oriented geodesics of the three dimensional space forms
Yamile Godoy, Michael Harrison, Marcos Salvai
Let be the three-dimensional space form of constant curvature , that is, Euclidean space , the sphere , or hyperbolic space . Let $…