The space of Lorentzian flat tori in anti - de Sitter 3 - space
نویسنده
چکیده
We describe the space of isometric immersions from the Lorentz plane L into the anti-de Sitter 3-space H31, 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 H31 in terms of pairs of closed curves with wave front singularities in the hyperbolic plane H satisfying some compatibility conditions.
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