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- W1815676437 abstract "Let S^n be the standard n-sphere embedded in R^{n+1}. A mapping T: S^n to S^n, not assumed continuous or even measurable, nor injective, is called weakly circle-preserving if the image of any circle under T is contained in some circle in the range space S^n. The main result of this paper shows that any weakly circle-preserving map satisfying a very mild condition on its range T(S^n) must be a Mobius transformation." @default.
- W1815676437 created "2016-06-24" @default.
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- W1815676437 date "2013-08-08" @default.
- W1815676437 modified "2023-09-27" @default.
- W1815676437 title "Weakly Circle-Preserving Maps in Inversive Geometry" @default.
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