Boundary jets of holomorphic maps between strongly pseudoconvex domains
Copyright policy )Boundary jets of holomorphic maps between strongly pseudoconvex domains
We study jets of germs of holomorphic maps between two strongly pseudoconvex domains under the condition that the image of one domain is contained into the other and a given boundary point is (non-tangentially) mapped to a given boundary point. We completely characterize the (non-tangential) 1-jets. Moreover we give algebraic inequalities (in terms of Chern-Moser normal forms up to a certain low order) for the admissible germs with a given 1-jet. Also, we prove a rigidity result which says that there exists a germ tangent to the Identity (in some local charts) if and only if the two domains are tangent up to weighted order five.
- Trinity College Dublin Ireland
- University of Rome Tor Vergata Italy
58A20, 32A40, Self-maps of strongly pseudoconvex domains, Pure & Applied Mathematics, Mathematics - Complex Variables, 32T15, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, extremality of maps, 32T15; 32A40; 58A20, Strongly pseudoconvex domains, Chern–Moser normal forms, 510, Functional Analysis (math.FA), Mathematics - Functional Analysis, Pure & Applied Mathematics, jets of holomorphic diffeomorphisms, FOS: Mathematics, Chern-Moser normal forms, self-maps of strongly pseudoconvex domains, Complex Variables (math.CV), Extremality of maps, Jets of holomorphic diffeomorphisms, Analysis
58A20, 32A40, Self-maps of strongly pseudoconvex domains, Pure & Applied Mathematics, Mathematics - Complex Variables, 32T15, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, extremality of maps, 32T15; 32A40; 58A20, Strongly pseudoconvex domains, Chern–Moser normal forms, 510, Functional Analysis (math.FA), Mathematics - Functional Analysis, Pure & Applied Mathematics, jets of holomorphic diffeomorphisms, FOS: Mathematics, Chern-Moser normal forms, self-maps of strongly pseudoconvex domains, Complex Variables (math.CV), Extremality of maps, Jets of holomorphic diffeomorphisms, Analysis
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