Geodesic
Complex rigidity of Teichm\"uller spaces
Matematičeskaâ fizika i kompʹûternoe modelirovanie, no. 6 (2016), pp. 108-118

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We outline old and new results concerning the well-known problems in the Teichmüller space theory, i.e., whether these spaces are starlike in the Bers holomorphic embedding and whether any Teichmüller space of dimension greater than $1$ is biholomorhically equivalent to bounded convex domain in a complex Banach space.
Keywords: Teichmüller spaces, holomorphic embeddings, Schwarzian derivative, starlike, holomorphic section, conformally rigid domain, uniformly convex Banach space.
Mots-clés : convex domain 
@article{VVGUM_2016_6_a10,
     author = {S. L. Krushkal'},
     title = {Complex rigidity of {Teichm\"uller} spaces},
     journal = {Matemati\v{c}eska\^a fizika i kompʹ\^uternoe modelirovanie},
     pages = {108--118},
     publisher = {mathdoc},
     number = {6},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VVGUM_2016_6_a10/}
}
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S. L. Krushkal'. Complex rigidity of Teichm\"uller spaces. Matematičeskaâ fizika i kompʹûternoe modelirovanie, no. 6 (2016), pp. 108-118. http://geodesic.mathdoc.fr/item/VVGUM_2016_6_a10/