2021 The Doubly Connected Minimal Surfaces Between Two Circles in Parallel Planes
Madusha Atampalage, Bhagya Athukorallage, Magdalena Toda
J. Geom. Symmetry Phys. 59: 31-45 (2021). DOI: 10.7546/jgsp-59-2021-31-45

Abstract

In this article, we revisit some results published by several mathematicians regarding existence and non-existence of doubly connected minimal surfaces between two circles in parallel planes. In particular, we propose new analytical interpretations and results for catenoidal solutions formed between two coaxial circles in parallel planes of arbitrary radii. We conclude by discussing the nature of the pair of the catenoidal solutions that arise from our proposed algorithm.

Citation

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Madusha Atampalage. Bhagya Athukorallage. Magdalena Toda. "The Doubly Connected Minimal Surfaces Between Two Circles in Parallel Planes." J. Geom. Symmetry Phys. 59 31 - 45, 2021. https://doi.org/10.7546/jgsp-59-2021-31-45

Information

Published: 2021
First available in Project Euclid: 4 June 2021

Digital Object Identifier: 10.7546/jgsp-59-2021-31-45

Rights: Copyright © 2021 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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