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Cassini Curves in Normed Planes

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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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Authors and Affiliations

  1. Faculty of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany

    Horst Martini

  2. Department of Applied Mathematics, Harbin University of Science and Technology, 150080, Harbin, China

    Senlin Wu

Authors
  1. Horst Martini
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  2. Senlin Wu
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Correspondence to Horst Martini.

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Martini, H., Wu, S. Cassini Curves in Normed Planes. Results. Math. 63, 1159–1175 (2013). https://doi.org/10.1007/s00025-012-0260-z

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  • DOI: https://doi.org/10.1007/s00025-012-0260-z

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