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Analytic Disks and Mapping Problems for Real Hypersurfaces in Complex Spaces

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dc.contributor.advisor Della Sala, Giuseppe
dc.contributor.author Hussein, Ahmad
dc.date.accessioned 2024-01-29T06:40:21Z
dc.date.available 2024-01-29T06:40:21Z
dc.date.issued 2024-01-29
dc.date.submitted 2024-01-26
dc.identifier.uri http://hdl.handle.net/10938/24279
dc.description.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.
dc.language.iso en_US
dc.subject Complex Analysis
dc.subject CR Geometry
dc.subject Differential Geometry
dc.subject Several Complex Variables
dc.subject Stationary Disks
dc.subject Analytic Disks
dc.subject Analysis
dc.subject Geometry
dc.subject Automorphisms
dc.subject CR Automorphisms
dc.subject Jet Determination
dc.subject Hypersurfaces
dc.subject Paraboloid
dc.subject Hyperquadric
dc.subject Levi Form
dc.subject Pseudoconvex
dc.subject Strongly Pseudoconvex
dc.subject Biholomorphism
dc.subject Holomorphic
dc.subject Invariants
dc.subject Cauchy-Riemann
dc.subject Biholomorphic Invariant
dc.subject Complex Space
dc.subject Real Hypersurface
dc.subject Cayley Transform
dc.subject Sphere
dc.subject Riemann Mapping Theorem
dc.subject Hartog's Theorem
dc.subject Hartog's Phenomenon
dc.subject Second Jet
dc.subject Isotropic Automorphism
dc.subject Complexification
dc.subject Realification
dc.subject 2-jet
dc.subject Diffeomorphism
dc.subject Manifold
dc.title Analytic Disks and Mapping Problems for Real Hypersurfaces in Complex Spaces
dc.type Thesis
dc.contributor.department Department of Mathematics
dc.contributor.faculty Faculty of Arts and Sciences
dc.contributor.commembers Bertrand, Florian
dc.contributor.commembers Abi Khuzam, Farouk
dc.contributor.degree MS
dc.contributor.AUBidnumber 201724596


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