Dept. Math, Hokkaido Univ. EPrints Server

Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space

Preprint Series # 1000
Sato, Takami Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space. (09 March 2012); (Submitted)

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Abstract

In this paper we introduce the notion of pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski spacevwhich is analogous to the notion of evolutes of curves on the hyperbolic plane. We investigate the the singularities and geometric properties of pseudo-spherical evolutes of curves on a spacelike surface.

Item Type:Preprint
Uncontrolled Keywords:Curves on a spacelike surface, Pseudo-spherical evolute, Lorentz-Minkowski space
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:2184