Spherical 2-Dupin submanifolds
classification
🧮 math.DG
keywords
dupinsphericalsubmanifoldsumbilicalclassifycomplexconformallycongruent
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We show that every spherical 2-Dupin submanifold that is not a hypersurface is conformally congruent to the standard embedding of the real, complex, quaternionic or octonionic projective plane. We also classify 2-CPC, 2-umbilical and weakly 2-umbilical submanifolds in space forms.
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