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Some classification of surfaces of revolution in Minkowski 3-space

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Abstract

We study the surfaces of revolution with the non-degenerate second fundamental form in Minkowski 3-space. In particular, we investigate the surfaces of revolution satisfying an equation in terms of the position vector field and the 2nd-Laplacian in Minkowski 3-space. As a result, we give some new examples of the surfaces of revolution with light-like axis in Minkowski 3-space.

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Authors and Affiliations

  1. Department of Mathematics Education and RINS, Gyeongsang National University, Jinju, 660-701, Korea

    Miekyung Choi & Dae Won Yoon

  2. Department of Mathematics Education, Kyungpook National University, Taegu, 702-701, Korea

    Young Ho Kim

Authors
  1. Miekyung Choi
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  2. Young Ho Kim
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  3. Dae Won Yoon
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Correspondence to Dae Won Yoon.

Additional information

M. Choi was supported by the National Research Foundation of Korea Grant funded by the Korean Government [NRF-2009-351-C00009]. Y. H. Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0007184).

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Choi, M., Kim, Y.H. & Yoon, D.W. Some classification of surfaces of revolution in Minkowski 3-space. J. Geom. 104, 85–106 (2013). https://doi.org/10.1007/s00022-013-0149-3

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  • DOI: https://doi.org/10.1007/s00022-013-0149-3

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