Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space
Copyright policy )Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space
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.
16 pages
- Bulgarian Academy of Sciences Bulgaria
- Institute of Mathematics and Informatics Bulgaria
- Istanbul Technical University Turkey
Mathematics - Differential Geometry, Local submanifolds, Local differential geometry of Lorentz metrics, indefinite metrics, Lorentz surface, pseudo-Euclidean space, parallel mean curvature vector field, quasi-minimal surface, Differential Geometry (math.DG), finite type Gauss map, FOS: Mathematics, Non-Euclidean differential geometry, 53B30, 53A35, 53B25
Mathematics - Differential Geometry, Local submanifolds, Local differential geometry of Lorentz metrics, indefinite metrics, Lorentz surface, pseudo-Euclidean space, parallel mean curvature vector field, quasi-minimal surface, Differential Geometry (math.DG), finite type Gauss map, FOS: Mathematics, Non-Euclidean differential geometry, 53B30, 53A35, 53B25
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