Transforms for minimal surfaces in the 5-sphere

J. Bolton; L. Vrancken

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Transforms for minimal surfaces in the 5-sphere

J. Bolton·L. Vrancken

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Abstract

We define two transforms between minimal surfaces with non-circular ellipse of curvature in the 5-sphere, and show how this enables us to construct, from one such surface, a sequence of such surfaces. We also use the transforms to show how to associate to such a surface a corresponding ruled minimal Lagrangian submanifold of complex projective 3-space. We illustrate this explicitly in the case of bipolar minimal surfaces.

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BibTeX RIS

J. Bolton, L. Vrancken. 2005-02-17. Transforms for minimal surfaces in the 5-sphere. https://arxiv.org/abs/math/0502370

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