Pseudospherical surfaces on time scales

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We define and discuss the notion of pseudospherical surfaces in asymptotic coordinates on time scales. Two special cases, namely dicrete pseudospherical surfaces and smooth pseudosperical surfaces are consistent with this description. In particular, we define the Gaussian curvature in the discrete case.
13 pages

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Differential Geometry, Classical Analysis and ODEs, 53A05, 39A12, 52C07, 65D17

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http://salesiana.dossiersoluciones.com/handle/123456789/123334

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702098
 http://arxiv.org/abs/math/0702098

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arXiv