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Osculating Hyperplanes and Asymptotic Directions of Codimension Two Submanifolds of Euclidean Spaces

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Abstract

We define the concepts of binormal and asymptotic directions for submanifolds embedded with codimension 2 into Euclidean spaces and obtain necessary conditions, in terms of the existence of such directions, for the convexity and the sphericity of these submanifolds.

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Mochida, D.K.H., Romero-Fuster, M.C. & Ruas, M.A.S. Osculating Hyperplanes and Asymptotic Directions of Codimension Two Submanifolds of Euclidean Spaces. Geometriae Dedicata 77, 305–315 (1999). https://doi.org/10.1023/A:1005145104603

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  • DOI: https://doi.org/10.1023/A:1005145104603

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