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arxiv: 0807.1715 · v1 · submitted 2008-07-10 · 🧮 math.CV · math.CA

Evolution Families and the Loewner Equation II: complex hyperbolic manifolds

classification 🧮 math.CV math.CA
keywords manifoldscomplexequationevolutionfamilieshyperbolicloewnercertain
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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.

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