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 language | English |
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Pages (from-to) | 171-183 |
Number of pages | 13 |
Journal | Journal of Geometry and Physics |
Volume | 106 |
DOIs | |
Publication status | Published - 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