Meridian Surfaces with Constant Mean Curvature in Pseudo-Euclidean 4-space with Neutral Metric

Abstract

In the present paper we consider a special class of Lorentz surfaces in the four-dimensional pseudo-Euclidean space with neutral metric which are one-parameter systems of meridians of rotational hypersurfaces with timelike or spacelike axis and call them meridian surfaces. We give the complete classification of minimal and quasi-minimal meridian surfaces. We also classify the meridian surfaces with non-zero constant mean curvature.

15 pages. arXiv admin note: text overlap with arXiv:1606.00047

References in corpus (3)

• Invariants and bonnet-type theorem for surfaces in $\r^4$
• Meridian Surfaces in E^4 with Pointwise 1-type Gauss Map
• Chen Rotational Surfaces of Hyperbolic or Elliptic Type in the Four-dimensional Minkowski Space

Cited by in corpus (1)

• Meridian Surfaces on Rotational Hypersurfaces with Lightlike Axis in ${\mathbb{E}}_2^4$