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Classification of surfaces in three-sphere in Lie sphere geometry
Published online by Cambridge University Press: 22 January 2016
Extract
We studied plane curves in Lie sphere geometry in [YY]. Especially we constructed Lie frames of curves in S2 and classified them by the Lie equivalence. In this paper we are concerned with surfaces in S3. We construct Lie frames and classify them. We moreover obtain the necessary and sufficient condition that two surfaces are Lie equivalent.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1996
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