The doubly connected minimal surfaces between two circles in parallel planes

Madusha Atampalage, Bhagya Athukorallage, Magdalena Toda

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)31-45
Number of pages15
JournalJournal of Geometry and Symmetry in Physics
Volume59
DOIs
StatePublished - 2021

Keywords

  • Catenary curves
  • Minimal surfaces
  • Soap films

Fingerprint

Dive into the research topics of 'The doubly connected minimal surfaces between two circles in parallel planes'. Together they form a unique fingerprint.

Cite this