On Domains Biholomorphic to Teichmüller Spaces-Reference-Cited by-同舟云学术

On Domains Biholomorphic to Teichmüller Spaces

Published:2018-08-31 Issue:8 Volume:2020 Page:2542-2560
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Gupta Subhojoy¹,Seshadri Harish¹

Affiliation:

1. Department of Mathematics, Indian Institute of Science, Bangalore, India

Abstract

Abstract We prove that the Teichmüller space $\mathscr{T}$ of a closed surface of genus $g \ge 2$ cannot be biholomorphic to any domain which is locally strictly convex at some boundary point.

Funder

Marie Curie International Research

European Union Framework Programme for Research and Innovation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2020/8/2542/33136991/rny204.pdf

Reference25 articles.

1. University Lecture Series 38;Ahlfors,2006

2. Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it;Alexandroff;Leningrad State Univ. Annals [Uchenye Zapiski] Math. Ser.,1939

3. Spaces of Riemann surfaces as bounded domains;Bers;Bull. Amer. Math. Soc.,1960

4. On the second differentiability of convex surfaces;Bianchi;Geom. Dedicata,1996

5. Cambridge Studies in Advanced Mathematics 141;Branner,2014

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