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Every real ellipsoid in admits CR umbilical points
Authors:Xiaojun Huang  Shanyu Ji
Institution:Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903 ; Department of Mathematics, University of Houston, Houston, Texas 77204
Abstract:We prove that every real ellipsoid $ M\subset\mathbb{C}^2$ admits at least four umbilical points, which can be compared to the result of Webster that a generic real ellipsoid in $ \mathbb{C}^n$ with $ n\ge3$ does not admit any umbilical point.

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