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

Luis Fernando Mello

arxiv: math/0606245 · v1 · submitted 2006-06-10 · 🧮 math.DS · math.DG

Orthogonal Asymptotic Lines on Surfaces Immersed in mathbf R ⁴

Luis Fernando Mello This is my paper

classification 🧮 math.DS math.DG

keywords mathbfsurfacesasymptoticimmersedlinesorthogonalanalyzeconditions

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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 $\mathbf R ^4$.

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Orthogonal Asymptotic Lines on Surfaces Immersed in mathbf R ⁴

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