2008/07/10 by Filippo Bracci, Manuel D. Contreras, Bracci, Filippo +3 · 1 citation
Mathematics · Physics and Astronomy · #32Q45 #32W99 #34M45 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.0807.1715
openalex publication_date 2008/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.