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arXiv · 2307.16274

Minimal Submanifolds via Complex-Valued Eigenfunctions

Sigmundur Gudmundsson·Thomas Jack Munn
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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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Sigmundur Gudmundsson, Thomas Jack Munn. 2023-07-30. Minimal Submanifolds via Complex-Valued Eigenfunctions. https://arxiv.org/abs/2307.16274

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