Analytic Disks and Mapping Problems for Real Hypersurfaces in Complex Spaces
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
The thesis will review the theory of certain invariant objects associated to CR submanifolds of C^n, especially families of attached analytic disks, and their implications for the study of the properties of holomorphic maps. Particular attention will be given to the dynamics of those invariants on the sphere in C^2.
Description
Keywords
Complex Analysis, CR Geometry, Differential Geometry, Several Complex Variables, Stationary Disks, Analytic Disks, Analysis, Geometry, Automorphisms, CR Automorphisms, Jet Determination, Hypersurfaces, Paraboloid, Hyperquadric, Levi Form, Pseudoconvex, Strongly Pseudoconvex, Biholomorphism, Holomorphic, Invariants, Cauchy-Riemann, Biholomorphic Invariant, Complex Space, Real Hypersurface, Cayley Transform, Sphere, Riemann Mapping Theorem, Hartog's Theorem, Hartog's Phenomenon, Second Jet, Isotropic Automorphism, Complexification, Realification, 2-jet, Diffeomorphism, Manifold