Geodesic
Holomorphic motions commuting with semigroups
Studia Mathematica, Tome 119 (1996) no. 1, pp. 1-16

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A holomorphic family $f_z$, |z|1, of injections of a compact set E into the Riemann sphere can be extended to a holomorphic family of homeomorphisms $F_z$, |z|1, of the Riemann sphere. (An earlier result of the author.) It is shown below that there exist extensions $F_z$ which, in addition, commute with some holomorphic families of holomorphic endomorphisms of $ℂ̅̅̅̅̅̅ \ f_z(E)$, |z|1 (under suitable assumptions). The classes of covering maps and maps with the path lifting property are discussed.
DOI : 10.4064/sm-119-1-1-16

Zbigniew Słodkowski 1

1 
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Zbigniew Słodkowski. Holomorphic motions commuting with semigroups. Studia Mathematica, Tome 119 (1996) no. 1, pp. 1-16. doi: 10.4064/sm-119-1-1-16

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