Analytic Disks and Mapping Problems for Real Hypersurfaces in Complex Spaces
أحمد هشام حسين, جوزيبي ديلا سالا
كلية العلوم والأداب-الجامعة الأمريكية في بيروت · لبنان
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.