Spacelike CMC 1 surfaces with elliptic ends in de sitter 3-Space

Shoichi Fujimori

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We show that an Osserman-type inequality holds for spacelike surfaces of constant mean curvature 1 with singularities and with elliptic ends in de Sitter 3-space. An immersed end of a constant mean curvature 1 surface is an “elliptic end” if the monodromy representation at the end is diagonalizable with eigenvalues in the unit circle. We also give a necessary and sufficient condition for equality in the inequality to hold, and in the process of doing this we derive a condition for determining when elliptic ends are embedded.

Original languageEnglish
Pages (from-to)289-320
Number of pages32
JournalHokkaido Mathematical Journal
Volume35
Issue number2
DOIs
Publication statusPublished - Jan 1 2006
Externally publishedYes

Fingerprint

Constant Mean Curvature
Spacelike Surface
Monodromy
Unit circle
Equality
Singularity
Eigenvalue
Necessary Conditions
Sufficient Conditions

Keywords

  • Admissible singularities
  • De sitter 3-space
  • Spacelike CMC 1 surface

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Spacelike CMC 1 surfaces with elliptic ends in de sitter 3-Space. / Fujimori, Shoichi.

In: Hokkaido Mathematical Journal, Vol. 35, No. 2, 01.01.2006, p. 289-320.

Research output: Contribution to journalArticle

Fujimori, Shoichi. / Spacelike CMC 1 surfaces with elliptic ends in de sitter 3-Space. In: Hokkaido Mathematical Journal. 2006 ; Vol. 35, No. 2. pp. 289-320.
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