Missouri Journal of Mathematical Sciences

Translational Surfaces

Andrew Crutcher

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A translational surface is a rational surface generated from two rational space curves by translating one curve along the other curve. In this paper, we utilize matrices to represent translational surfaces, and give necessary and sufficient conditions for a real rational surface to be a translational surface.

Article information

Missouri J. Math. Sci., Volume 30, Issue 2 (2018), 140-149.

First available in Project Euclid: 7 December 2018

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14Q10: Surfaces, hypersurfaces
Secondary: 15A33: Matrices over special rings (quaternions, finite fields, etc.)

translational surface matrix


Crutcher, Andrew. Translational Surfaces. Missouri J. Math. Sci. 30 (2018), no. 2, 140--149. doi:10.35834/mjms/1544151691. https://projecteuclid.org/euclid.mjms/1544151691

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  • E. R. Hancock, R. R. Martin, and M. A. Sabin, Mathematics of Surfaces XIII: 13th IMA International Conference York, UK, September 7-9, 2009 Proceedings, Lecture Notes in Computer Science, Springer, Berlin, Heidelberg, 2009.
  • S. Perez-Diaz and L. Shen, Parametrization of translational surfaces, ArXiv e-prints, 1405.2533, http://adsabs.harvard.edu/abs/2014arXiv1405.2533P.