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math.CV2008★ 1 cited
Evolution Families and the Loewner Equation II: complex hyperbolic manifolds
Filippo Bracci, Manuel D. Contreras, S. Diaz-Madrigal
We prove that evolution families on complex complete hyperbolic manifolds are in one to one correspondence with certain semicomplete non-autonomous holomorphic vector fields, provi…
math.CV2008★ 21 cited
Evolution Families and the Loewner Equation I: The Unit Disc
Filippo Bracci, Manuel D. Contreras, Santiago Diaz-Madrigal
In this paper we introduce a general version of the Loewner differential equation which allows us to present a new and unified treatment of both the radial equation introduced in 1…