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

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.

arXiv commenttypos corrected, minor changes in the introduction