The Doubly Connected Minimal Surfaces Between Two Circles in Parallel Planes
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Published:2021
Issue:
Volume:59
Page:31-45
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ISSN:1312-5192
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Container-title:Journal of Geometry and Symmetry in Physics
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language:
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Short-container-title:J Geom Symmetry Phys
Author:
Atampalage Madusha,Athukorallage Bhagya,Toda Magdalena
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.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Subject
Geometry and Topology,Mathematical Physics