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On Zindler Curves in Normed Planes

Published online by Cambridge University Press:  20 November 2018

Horst Martini  and
Senlin Wu
Horst Martini
Affiliation:
Faculty of Mathematics, Chemnitz University of Technology, 09107 Chemnitz, Germanye-mail: [email protected]
Senlin Wu
Affiliation:
Department of Applied Mathematics, Harbin University of Science and Technology, 150080 Harbin, Chinae-mail: senlin [email protected]
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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.

Keywords

52A2152A1046C15arc lengtharea-halving distanceBirkhoff orthogonalityconvex curvehalving pairhalving distanceisosceles orthogonalitymidpoint curveMinkowski planenormed planeZindler curve
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 4 , 01 December 2012 , pp. 767 - 773
Copyright
Copyright © Canadian Mathematical Society 2012

References

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