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April 23, 2024Journal of Geometric Analysis4 citationsOpen Access

Minimal Submanifolds via Complex-Valued Eigenfunctions

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SGSigmundur GudmundssonTMThomas Jack Munn

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Abstract

Abstract In this work we introduce a new method for manufacturing minimal submanifolds of Riemannian manifolds of codimension two. For this we employ the so-called complex-valued eigenfunctions . This is particularly interesting in the cases when the Riemannian ambient manifold is compact. We then give several explicit examples in important cases.

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Cite This Study

Gudmundsson et al. (2024) studied this question.

synapsesocial.com/papers/68e6df83b6db64358765ab2fhttps://doi.org/10.1007/s12220-024-01642-5
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