Umbilic points and Real hyperquadrics
Won K. Park
Abstract
We show a refined version of the existence and uniqueness theorem to Chern-Moser normal form. The class of nondegenerate real hypersurfaces in normal form has a natural group action. Umbilic point is defined via normal form. Nondegenerate analytic real hypersurfaces are locally biholomorphic to a real hyperquadric whenever every point is umbilic in this sense.
Create a lesson
Related papers
Square Functions and the Complete Crouzeix Conjecture in Dimension Three
Per Åhag, Rafał Czyż, Antti Perälä et al.
On the Levi map of nondegenerate CR submanifolds
Florian Bertrand, Francine Meylan
Smale's Mean Value Conjecture and its Dual Conjecture for Complex Polynomials
Aneesh Jatar, Tuen Wai Ng
Transcendental Numerical Dimension and Rational Quotients in Kähler Geometry
Songchen Liu
Compactness and the essential norm on Bergman spaces of the Siegel upper half-space
Peiyao Li, Congwen Liu, Jiajia Si
Existence of a "maximal" domain of meromorphy for an analytic function outside a polar compact set
Aleksandr Komlov