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

Authors :
Mäder-Baumdicker, Elena
Rothe, Melanie
Publication Year :
2022

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.<br />Comment: typos corrected, minor changes in the introduction

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2210.10498
Document Type :
Working Paper