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Free boundary minimal surfaces with connected boundary and arbitrary genus

Authors :
Carlotto, Alessandro
Franz, Giada
Schulz, Mario B.
Source :
Cambridge Journal of Mathematics, Vol. 10, No. 4 (2022), pp. 835-857
Publication Year :
2020

Abstract

We employ min-max techniques to show that the unit ball in $\mathbb{R}^3$ contains embedded free boundary minimal surfaces with connected boundary and arbitrary genus.

Subjects

Subjects :
Mathematics - Differential Geometry

Details

Database :
arXiv
Journal :
Cambridge Journal of Mathematics, Vol. 10, No. 4 (2022), pp. 835-857
Publication Type :
Report
Accession number :
edsarx.2001.04920
Document Type :
Working Paper
Full Text :
https://doi.org/10.4310/CJM.2022.v10.n4.a3
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