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math.DG2013★ 2 cited
Lorentzian compact manifolds: isometries and geodesics
V. del Barco, G. P. Ovando, F. Vittone
In this work we investigate families of compact Lorentzian manifolds in dimension four. We show that every lightlike geodesic on such spaces is periodic, while there are closed and…
math.DG2013
Isometric actions on pseudo-Riemannian nilmanifolds
Viviana del Barco, Gabriela P. Ovando
This work deals with the structure of the isometry group of pseudo-Riemannian 2-step nilmanifolds. We study the action by isometries of several groups and we construct examples sho…