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

Shoichi Fujimori

Research output: Contribution to journalArticle

15 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

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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