Projective-umbilic points of circular real hypersurfaces in ℂ²

Barrett, David; Grundmeier, Dusty

doi:10.1090/proc/15176

Projective-umbilic points of circular real hypersurfaces in $\mathbb {C}^2$
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by David E. Barrett and Dusty E. Grundmeier PDF

Proc. Amer. Math. Soc. 148 (2020), 5241-5248 Request permission

Abstract:

We show that the boundary of any bounded strongly pseudoconvex complete circular domain in $\mathbb {C}^2$ must contain points that are exceptionally tangent to a projective image of the unit sphere.

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