37 citations · 84 across the 25 of their papers we have counts for
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math.CV2011
Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds
Leandro Arosio, Filippo Bracci
We characterize infinitesimal generators on complete hyperbolic complex manifolds without any regularity assumption on the Kobayashi distance. This allows to prove a general Loewne…
math.CV2011
Basins of attraction in Loewner equations
Leandro Arosio
We prove that any Loewner PDE whose driving term h(z,t) vanishes at the origin, and satisfies the bunching condition r m(Dh(0,t))\geq k(Dh(0,t)) for some r\in R^+, admits a solutio…
math.CV2011
Loewner equations on complete hyperbolic domains
Leandro Arosio
We prove that, on a complete hyperbolic domain D\subset C^q, any Loewner PDE associated with a Herglotz vector field of the form H(z,t)=A(z)+O(|z|^2), where the eigenvalues of A ha…