THE BERGMAN METRIC ON TEICHMÜLLER SPACE-Reference-Cited by-同舟云学术

THE BERGMAN METRIC ON TEICHMÜLLER SPACE

Published:2004-12 Issue:10 Volume:15 Page:1085-1091
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

CHEN BO-YONG¹²

Affiliation:

1. Department of Applied Mathematics, Tongji University, Shanghai, 200092, P. R. China

2. Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan

Abstract

We give a simple proof of a theorem of McMullen on Kähler hyperbolicity of moduli space of Riemann surfaces by using the Bergman metric on Teichmüller space.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X04002697

Reference12 articles.

1. On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation

2. Kähler hyperbolicity and $L_2$-Hodge theory

3. An Introduction to Teichmüller Spaces

4. The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".

5. Geometry of bounded domains

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