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Topology and Embeddedness of Lawson's Bipolar Surfaces in the 5-Sphere
- 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
- Subjects :
- Mathematics - Differential Geometry
53A05, 53A10, 53C42
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2210.10498
- Document Type :
- Working Paper