Boundary jets of holomorphic maps between strongly pseudoconvex domains

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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.

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Complex Variables, Functional Analysis, 32T15; 32A40; 58A20

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http://salesiana.dossiersoluciones.com/handle/123456789/110011

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603011
 http://arxiv.org/abs/math/0603011

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arXiv