Work

Genus one critical catenoid

Year: 2024

Type: preprint

Abstract: We use variational methods to construct a free boundary minimal surface in the three-dimensional unit ball with genus one, two boundary components and prismatic symmetry. Key ingredients are an extension of the equivariant min-max theory to include orientation-reversing isometries and the discovery of a nontrivial two-parameter sweepout.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2409.12588

Authors: Franz, Giada, Ketover, Daniel, Schulz, Mario B.

Institutions: Massachusetts Institute of Technology, Rutgers, The State University of New Jersey, University of Trento

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4403747473

Cites: 13

Cited by: 10

Related to: 10