Nonorientable maximal surfaces in the lorentz-minkowski 3-space

Shoichi Fujimori, Francisco J. López

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The geometry and topology of complete nonorientable maximal surfaces with lightlike singularities in the Lorentz-Minkowski 3-space are studied. Some topological congruence formulae for surfaces of this kind are obtained. As a consequence, some existence and uniqueness results for maximal Möbius strips and maximal Klein bottles with one end are proved.

Original languageEnglish
Pages (from-to)311-328
Number of pages18
JournalTohoku Mathematical Journal
Volume62
Issue number3
DOIs
Publication statusPublished - Sep 2010
Externally publishedYes

Fingerprint

Maximal Surfaces
Non-orientable Surface
Klein bottle
Existence and Uniqueness Results
Congruence
Strip
Singularity
Topology

Keywords

  • Maximal surface
  • Nonorientable surface

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Nonorientable maximal surfaces in the lorentz-minkowski 3-space. / Fujimori, Shoichi; López, Francisco J.

In: Tohoku Mathematical Journal, Vol. 62, No. 3, 09.2010, p. 311-328.

Research output: Contribution to journalArticle

Fujimori, Shoichi ; López, Francisco J. / Nonorientable maximal surfaces in the lorentz-minkowski 3-space. In: Tohoku Mathematical Journal. 2010 ; Vol. 62, No. 3. pp. 311-328.
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