Projective-umbilic points of circular real hypersurfaces in $\mathbb {C}^2$

DOI10.1090/proc/15176zbMath1457.32094arXiv1909.09542OpenAlexW3027344994MaRDI QIDQ5130867

David E. Barrett, Dusty E. Grundmeier

Publication date: 29 October 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.09542

zbMATH Keywords

circular real hypersurfaceprojective-umbilic point

Mathematics Subject Classification ID

CR functions (32V10)

Related Items

The CR umbilical locus of a real ellipsoid in \(\mathbb{C}^2\)

Cites Work

• A family of compact strictly pseudoconvex hypersurfaces in \(\mathbb{C}^2\) without umbilical points
• The Möbius geometry of hypersurfaces
• Projective deformation and biholomorphic equivalence of real hypersurfaces
• Une charactérisation des quadriques hermitiennes dans \(\mathbb{C}^ n\). (A characterization of Hermite quadrics in \(\mathbb{C}^ n\))
• Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
• Sums of CR functions from competing CR structures
• Complex convexity and analytic functionals
• Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves
• Umbilical points on three dimensional strictly pseudoconvex CR manifolds. I: Manifolds with \(\mathrm{U}(1)\)-action
• Holomorphic projection and duality for domains in complex projective space
• Every real ellipsoid in ℂ² admits CR umbilical points
• The Four-or-More Vertex Theorem
• Geometry Revealed
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item