Meridian surfaces with constant mean curvature in pseudo-euclidean 4-space with neutral metric

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Date

2017-02-10

Authors

Milousheva, Velichka

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

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, spacelike, or lightlike 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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Keywords

Mathematics, Meridian surfaces, Quasi-minimal surfaces, Constant mean curvature, Pseudo-Euclidean space with neutral metric, Space, Classification

Citation

Bulca, B. ve Milousheva, V. (2017). ''Meridian surfaces with constant mean curvature in pseudo-euclidean 4-space with neutral metric''. Mediterranean Journal of Mathematics, 14(2).