Work

Free boundary minimal surfaces with connected boundary and arbitrary genus

Year: 2022

Type: article

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.

Source: Cambridge Journal of Mathematics

DOI: 10.4310/cjm.2022.v10.n4.a3

Authors: Alessandro Carlotto, Giada Franz, Mario B. Schulz

Institutions: ETH Zurich, University of Münster

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Royal Swedish Academy of Sciences, Engineering and Physical Sciences Research Council

Award: Advances in Mean Curvature Flow: Theory and Applications

OpenAlex ID: W3000376100

FWCI: 4.319

Cites: 23

Cited by: 31

Related to: 10