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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0702296-5
PII: S 0002-9939(1983)0702296-5
Article copyright: © Copyright 1983 American Mathematical Society