Evolution Families and the Loewner Equation II: complex hyperbolic manifolds

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We prove that evolution families on complex complete hyperbolic manifolds are in one to one correspondence with certain semicomplete non-autonomous holomorphic vector fields, providing the solution to a very general Loewner type differential equation on manifolds.
15 pages

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Complex Variables, Classical Analysis and ODEs, 34M45; 32Q45; 32W99

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http://salesiana.dossiersoluciones.com/handle/123456789/164661

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.1715
 http://arxiv.org/abs/0807.1715

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arXiv