Minimal Submanifolds via Complex-Valued Eigenfunctions

Author:

Sigmundur Gudmundsson, Thomas Jack Munn

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG)

journal:

date:

2023-07-29 16:00:00

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.

PDF: Minimal Submanifolds via Complex-Valued Eigenfunctions.pdf