Cassini Curves in Normed Planes |
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Authors: | Horst Martini Senlin Wu |
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Affiliation: | 1. Faculty of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany 2. Department of Applied Mathematics, Harbin University of Science and Technology, 150080, Harbin, China
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Abstract: | We extend the concept of Cassini curves from the Euclidean plane to normed (or Minkowski) planes and show that geometric properties of (Minkowskian) Cassini curves are closely related to geometric properties of the unit disc determining the underlying normed plane. |
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