Open Access
may 2014 The circle space of a spherical circle plane
Rainer Löwen, Günter F. Steinke
Bull. Belg. Math. Soc. Simon Stevin 21(2): 351-364 (may 2014). DOI: 10.36045/bbms/1400592630

Abstract

We show that the circle space of a spherical circle plane is a punctured projective 3-space. The main ingredient is a partial solution of the problem of Apollonius on common touching circles.

Citation

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Rainer Löwen. Günter F. Steinke. "The circle space of a spherical circle plane." Bull. Belg. Math. Soc. Simon Stevin 21 (2) 351 - 364, may 2014. https://doi.org/10.36045/bbms/1400592630

Information

Published: may 2014
First available in Project Euclid: 20 May 2014

zbMATH: 1296.51016
MathSciNet: MR3211021
Digital Object Identifier: 10.36045/bbms/1400592630

Subjects:
Primary: 51H15

Keywords: Möbius plane , spherical circle plane

Rights: Copyright © 2014 The Belgian Mathematical Society

Vol.21 • No. 2 • may 2014
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