5 citations · 11 across the 8 of their papers we have counts for
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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 )…
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…