Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space

Velichka Milousheva*, Nurettin Cenk Turgay

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

A Lorentz surface in the four-dimensional pseudo-Euclidean space with neutral metric is called quasi-minimal if its mean curvature vector is lightlike at each point. In the present paper we obtain the complete classification of quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map.

Original languageEnglish
Pages (from-to)171-183
Number of pages13
JournalJournal of Geometry and Physics
Volume106
DOIs
Publication statusPublished - 1 Aug 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.

Keywords

  • Finite type Gauss map
  • Lorentz surface
  • Parallel mean curvature vector field
  • Pseudo-Euclidean space
  • Quasi-minimal surface

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