The space of Lorentzian flat tori in anti-de Sitter 3-space

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dc.creatorLeon-Guzman, Maria A.
dc.creatorMira, Pablo
dc.creatorPastor, Jose A.
dc.date2009-05-25
dc.date.accessioned2026-07-07T13:17:54Z
dc.date.available2026-07-07T13:17:54Z
dc.descriptionWe describe the space of isometric immersions from the Lorentz plane $L^2$ into the 3-dimensional anti-de Sitter space, and solve several open problems of this context raised by M. Dajczer and K. Nomizu in 1981. We also obtain from the above result a description of the space of Lorentzian flat tori isometrically immersed in the anti de Sitter space in terms of pairs of closed curves with wave front singularities in the hyperbolic plane satisfying some compatibility conditions.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0905.3991
dc.identifierhttp://arxiv.org/abs/0905.3991
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231264
dc.subjectDifferential Geometry
dc.subject53C42, 53C50
dc.titleThe space of Lorentzian flat tori in anti-de Sitter 3-space
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