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arXiv · 2210.10498

Topology and Embeddedness of Lawson's Bipolar Surfaces in the 5-Sphere

Elena Mäder-Baumdicker·Melanie Rothe
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Abstract

We give a topological classification of Lawson's bipolar minimal surfaces corresponding to his $\xi$- and $\eta$-family. Therefrom we deduce upper as well as lower bounds on the area of these surfaces, and find that they are not embedded.

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Elena Mäder-Baumdicker, Melanie Rothe. 2022-10-19. Topology and Embeddedness of Lawson's Bipolar Surfaces in the 5-Sphere. https://arxiv.org/abs/2210.10498

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