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On Zindler Curves in Normed Planes

Published online by Cambridge University Press:  20 November 2018

Horst Martini
Affiliation:
Faculty of Mathematics, Chemnitz University of Technology, 09107 Chemnitz, Germanye-mail: horst.martini@mathematik.tu-chemnitz.de
Senlin Wu
Affiliation:
Department of Applied Mathematics, Harbin University of Science and Technology, 150080 Harbin, Chinae-mail: senlin wu@hotmail.com
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Abstract

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We extend the notion of Zindler curve from the Euclidean plane to normed planes. A characterization of Zindler curves for general normed planes is given, and the relation between Zindler curves and curves of constant area-halving distances in such planes is discussed.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2012

References

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