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On isoclinal sequences of spheres


Author: Asia Ivić Weiss
Journal: Proc. Amer. Math. Soc. 88 (1983), 665-671
MSC: Primary 51B10; Secondary 51N25
MathSciNet review: 702296
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Abstract: In $ n$-dimensional inversive geometry it is possible to construct an infinite sequence of $ (n - 1)$-spheres with the property that every $ n + 2$ consecutive numbers are isoclinal. For every such sequence there is a Möbius transformation which advances the spheres of the sequence by one.


References [Enhancements On Off] (What's this?)

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  • [2] Leon Gerber, Sequences of isoclinal spheres, Aequationes Math. 17 (1978), no. 1, 53–72. MR 0493744
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  • [4] A. Weiss, On Coxeter's loxodromic sequences of tangent spheres, The Geometric Vein, Springer-Verlag, Berlin and New York, 1982.
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DOI: https://doi.org/10.1090/S0002-9939-1983-0702296-5
Article copyright: © Copyright 1983 American Mathematical Society