Nie Chang
Abstract
The conformal geometry of regular hypersurfaces in the conformal space is studied.We classify all the conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in the conformal space up to conformal equivalence.
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The conformal geometry of regular hypersurfaces in the conformal space is studied.We classify all the conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in the conformal space up to conformal equivalence.
Key concepts: Conformal map, Conformal geometry, Extremal length, Primary field, Principal curvature, Weyl transformation, Conformal symmetry, Conformal anomaly