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- W2950876633 abstract "Consider a smooth map from a neighborhood of the origin in a real vector space to a neighborhood of the origin in a Euclidean space. Suppose that this map takes all germs of lines passing through the origin to germs of Euclidean circles, or lines, or a point. We prove that under some simple additional assumptions this map takes all lines passing though the origin to the same circles as a Hopf map coming from a representation of a Clifford algebra does. We also describe a connection between our result and the Hurwitz--Radon theorem about sums of squares." @default.
- W2950876633 created "2019-06-27" @default.
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- W2950876633 date "2002-10-15" @default.
- W2950876633 modified "2023-09-27" @default.
- W2950876633 title "Circles and Clifford Algebras" @default.
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