Minimal Submanifolds via Complex-Valued Eigenfunctions

2023/07/30 by Sigmundur Gudmundsson, Gudmundsson, Sigmundur, Thomas Jack Munn +1 · 1 citation
Computer Science · Engineering · #3D Shape Modeling and Analysis #53C35 #53C43 #58E20 #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2307.16274

openalex publication_date 2023/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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