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

Betul Bulca; Velichka Milousheva

doi:10.1007/s00009-017-0878-x

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arXiv · 1606.00044

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

Betul Bulca·Velichka Milousheva

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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.

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Betul Bulca, Velichka Milousheva. 2016-05-31. Meridian Surfaces with Constant Mean Curvature in Pseudo-Euclidean 4-space with Neutral Metric. https://doi.org/10.1007/s00009-017-0878-x

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