Geodesic
The Holomorphic Contractibility of two Generalized TeichmÜller Spaces
Publications de l'Institut Mathématique, _N_S_75 (2004) no. 89, p. 109

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DOI Zbl

We show by simple explicit constructions that the Teichmüller spaces $T_0(\Delta)$ and $T_0(\Delta\smallsetminus\{0\})$ are holomorphically contractible. We also call attention to a useful criterion for a map between domains in complex Banach spaces to be holomorphic.
DOI : 10.2298/PIM0475109E
Classification : 30F60 46G20
Keywords: holomorphic contractibility 
Clifford J. Earle. The Holomorphic Contractibility of two Generalized TeichmÜller Spaces. Publications de l'Institut Mathématique, _N_S_75 (2004) no. 89, p. 109 . doi: 10.2298/PIM0475109E
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     title = {The {Holomorphic} {Contractibility} of two {Generalized} {Teichm\"Uller} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {109 },
     year = {2004},
     volume = {_N_S_75},
     number = {89},
     doi = {10.2298/PIM0475109E},
     zbl = {1150.30376},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0475109E/}
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