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 $\mathbb {C}^2$

Authors: David E. Barrett and Dusty E. Grundmeier
Journal: Proc. Amer. Math. Soc. 148 (2020), 5241-5248
MSC (2010): Primary 32V10
DOI: https://doi.org/10.1090/proc/15176
Published electronically: September 18, 2020
MathSciNet review: 4163836
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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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