Minimal Submanifolds via Complex-Valued Eigenfunctions
Differential Geometry
2024-04-01 v2
Abstract
In this work we introduce a new method for manufacturing minimal submanifolds in Riemannian geometry. For this we employ the so called complex-valued eigenfunctions. This is particularly interesting in the cases when the Riemannian ambient manifold is compact.
Cite
@article{arxiv.2307.16274,
title = {Minimal Submanifolds via Complex-Valued Eigenfunctions},
author = {Sigmundur Gudmundsson and Thomas Jack Munn},
journal= {arXiv preprint arXiv:2307.16274},
year = {2024}
}