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

Luis Fernando Mello
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Abstract

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 $\mathbf R ^4$.

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Luis Fernando Mello. 2006-06-10. Orthogonal Asymptotic Lines on Surfaces Immersed in $\mathbf R ^4$. https://arxiv.org/abs/math/0606245

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