A remark on limits of triply periodic minimal surfaces of genus 3

Norio Ejiri; Shoichi Fujimori; Toshihiro Shoda

doi:10.1016/j.topol.2015.05.014

A remark on limits of triply periodic minimal surfaces of genus 3

Norio Ejiri, Shoichi Fujimori, Toshihiro Shoda

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5 Citations (Scopus)

Abstract

In this paper, we consider limits of triply periodic minimal surfaces in R³. We prove that some important examples of singly or doubly periodic minimal surfaces can be obtained as limits of triply periodic minimal surfaces. Moreover, we give a mathematical proof of the existence of one-parameter family of triply periodic minimal surfaces which is defined in chemistry.

Original language	English
Pages (from-to)	880-903
Number of pages	24
Journal	Topology and its Applications
Volume	196
DOIs	https://doi.org/10.1016/j.topol.2015.05.014
Publication status	Published - Dec 2015

Keywords

Limit
Minimal surface
Triply periodic

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.topol.2015.05.014

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abstract = "In this paper, we consider limits of triply periodic minimal surfaces in R3. We prove that some important examples of singly or doubly periodic minimal surfaces can be obtained as limits of triply periodic minimal surfaces. Moreover, we give a mathematical proof of the existence of one-parameter family of triply periodic minimal surfaces which is defined in chemistry.",

keywords = "Limit, Minimal surface, Triply periodic",

author = "Norio Ejiri and Shoichi Fujimori and Toshihiro Shoda",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V.",

year = "2015",

month = dec,

doi = "10.1016/j.topol.2015.05.014",

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AU - Ejiri, Norio

AU - Fujimori, Shoichi

AU - Shoda, Toshihiro

PY - 2015/12

Y1 - 2015/12

N2 - In this paper, we consider limits of triply periodic minimal surfaces in R3. We prove that some important examples of singly or doubly periodic minimal surfaces can be obtained as limits of triply periodic minimal surfaces. Moreover, we give a mathematical proof of the existence of one-parameter family of triply periodic minimal surfaces which is defined in chemistry.

AB - In this paper, we consider limits of triply periodic minimal surfaces in R3. We prove that some important examples of singly or doubly periodic minimal surfaces can be obtained as limits of triply periodic minimal surfaces. Moreover, we give a mathematical proof of the existence of one-parameter family of triply periodic minimal surfaces which is defined in chemistry.

KW - Limit

KW - Minimal surface

KW - Triply periodic

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EP - 903

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JF - Topology and its Applications

ER -

A remark on limits of triply periodic minimal surfaces of genus 3

Abstract

Keywords

ASJC Scopus subject areas

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