Abstract
In this paper we introduce the notion of pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz–Minkowski space which is analogous to the notion of evolutes of curves on the hyperbolic plane. We investigate the singularities and geometric properties of pseudo-spherical evolutes of curves on a spacelike surface.
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Sato, T.: Curves on a spacelike surface in three dimentional Lorentz–Minkowski space. Preprint (2012)
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Dedicated to Professor Shyuichi Izumiya on his sixtieth birthday
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Sato, T. Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz–Minkowski space. J. Geom. 103, 319–331 (2012). https://doi.org/10.1007/s00022-012-0124-4
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DOI: https://doi.org/10.1007/s00022-012-0124-4