5 citations · 11 across the 8 of their papers we have counts for
9 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…
Classification of almost abelian Lie groups admitting left-invariant complex or symplectic structures
Romina M. Arroyo, María L. Barberis, Verónica S. Diaz +2
We classify the almost abelian Lie algebras admitting complex or symplectic structures. The matrix $A\in M(2n-1,\mathbb R )…
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 …
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 $…
Anti-Kählerian geometry on Lie groups
Edison Alberto Fernández-Culma, Yamile Godoy
Let be a Lie group of even dimension and let be a left invariant anti-Kähler structure on . In this article we study anti-Kähler structures considering the distingui…
Polar factorization of conformal and projective maps of the sphere in the sense of optimal mass transport
Yamile Godoy, Marcos Salvai
Let M be a compact Riemannian manifold and let ,d be the associated measure and distance on M. Robert McCann obtained, generalizing results for the Euclidean case by Yann Brenie…
Interpolation of geometric structures compatible with a pseudo Riemannian metric
Edison Alberto Fernández-Culma, Yamile Godoy, Marcos Salvai
Let (M, g) be a pseudo Riemannian manifold. We consider four geometric structures on M compatible with g: two almost complex and two almost product structures satisfying additional…
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…
Marginally trapped submanifolds in Lorentzian space forms and in the Lorentzian product of a space form by the real line
Henri Anciaux, Yamile Godoy
We give local, explicit representation formulas for n-dimensional spacelike submanifolds which are marginally trapped in the Minkowski space, the de Sitter and anti de Sitter space…