Spacelike mean curvature 1 surfaces of genus 1 with two ends in de Sitter 3-space

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We give a mathematical foundation for, and numerical demonstration of, the existence of mean curvature 1 surfaces of genus 1 with either two elliptic ends or two hyperbolic ends in de Sitter 3-space. An end of a mean curvature 1 surface is an 'elliptic end' (respectively a 'hyperbolic end') if the monodromy matrix at the end is diagonalizable with eigenvalues in the unit circle (respectively in the reals). Although the existence of the surfaces is numerical, the types of ends are mathematically determined.

Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalKyushu Journal of Mathematics
Volume61
Issue number1
DOIs
Publication statusPublished - Jun 7 2007
Externally publishedYes

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Mean Curvature
Genus
Monodromy
Unit circle
Eigenvalue

Keywords

  • De Sitter 3-space
  • Genus 1 surface
  • Spacelike constant mean curvature 1 surface

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Spacelike mean curvature 1 surfaces of genus 1 with two ends in de Sitter 3-space. / Fujimori, Shoichi.

In: Kyushu Journal of Mathematics, Vol. 61, No. 1, 07.06.2007, p. 1-20.

Research output: Contribution to journalArticle

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