Evolution families and the Loewner equation II: complex hyperbolic manifolds
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- Bracci, F., Contreras, M.D. & Díaz-Madrigal, S. Math. Ann. (2009) 344: 947. doi:10.1007/s00208-009-0340-x
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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.