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arXiv · 1902.01548

Lines of curvature of the double torus

María García Monera·Vinicio Gómez Gutiérrez·Federico Sánchez-Bringas
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Abstract

We describe the $ν$-lines of curvature of an embedding of the double torus into $\mathbb R^4$, defined as the link of the real part of the Milnor fibration of a polynomial, where $ν$ is its gradient. Through this analysis, we present a complete description of the foliation of lines of curvature of the embedding, defined as the image of the stereographic projection of this link into $\mathbb R^3$.

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María García Monera, Vinicio Gómez Gutiérrez, Federico Sánchez-Bringas. 2019-02-05. Lines of curvature of the double torus. https://arxiv.org/abs/1902.01548

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