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

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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, 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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Authors and Affiliations

  1. Department of Mathematics, Uludağ University, 16059, Bursa, Turkey

    Betül Bulca

  2. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. bl. 8, 1113, Sofia, Bulgaria

    Velichka Milousheva

  3. “L. Karavelov” Civil Engineering Higher School, 175 Suhodolska Str., 1373, Sofia, Bulgaria

    Velichka Milousheva

Authors
  1. Betül Bulca
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  2. Velichka Milousheva
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Correspondence to Velichka Milousheva.

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Bulca, B., Milousheva, V. Meridian Surfaces with Constant Mean Curvature in Pseudo-Euclidean 4-Space with Neutral Metric. Mediterr. J. Math. 14, 48 (2017). https://doi.org/10.1007/s00009-017-0878-x

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  • DOI: https://doi.org/10.1007/s00009-017-0878-x

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