On limits of triply periodic minimal surfaces

Norio Ejiri, Shoichi Fujimori, Toshihiro Shoda

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we introduce generic limits of triply periodic minimal surfaces and consider the genus-three case. We will prove that generic limits of such minimal surfaces consist of a one-parameter family of Karcher’s saddle towers and Rodríguez’ standard examples.

Original languageEnglish
Pages (from-to)1739-1748
Number of pages10
JournalAnnali di Matematica Pura ed Applicata
Volume197
Issue number6
DOIs
Publication statusPublished - Dec 1 2018

Keywords

  • Minimal surface
  • Triply periodic
  • limit

ASJC Scopus subject areas

  • Applied Mathematics

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