Orthogonal Asymptotic Lines on Surfaces Immersed in $\mathbf R ^4$

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In this paper we study some properties of surfaces immersed in $\mathbf R ^4$ whose asymptotic lines are orthogonal. We also analyze necessary and sufficient conditions for the hypersphericity of surfaces in $\mathbf R ^4$.
19 pages

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Dynamical Systems, Differential Geometry, 53A05; 58C25

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http://salesiana.dossiersoluciones.com/handle/123456789/113842

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606245
 http://arxiv.org/abs/math/0606245

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arXiv