Krushkal S.L. Complex Rigidity of Teichmüller Spaces

Details
Hits: 869

https://doi.org/10.15688/jvolsu1.2016.6.10

Samuel L. Krushkal
Doctor of Physical and Mathematical Sciences, Professor, Department of Mathematics,
BarIlan University, RamatGan, 5290002, Israel,
University of Virginia, Charlottesville, VA 229044137, USA
This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract. We outline old and new results concerning the wellknown problems in the Teichmuller space theory, i.e., whether these spaces are starlike in the Bers holomorphic embedding and whether any Teichmuller space of dimension greater than 1 is biholomorhically equivalent to bounded convex domain in a complex Banach space.

Key words: Teichmuller spaces, holomorphic embeddings, Schwarzian derivative, convex domain, starlike, holomorphic section, conformally rigid domain, uniformly convex Banach space.

Creative Commons License

Complex Rigidity of Teichmüller Spaces by Krushkal S.L. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №6 (37) 2016 pp. 108-118

Attachments:
Download this file (Krushkal.pdf) Krushkal.pdf
URL: https://mp.jvolsu.com/index.php/en/component/attachments/download/638		822 Downloads