Variations of complex and hyperbolic structures on Riemann surfaces – a comparative viewpoint –

• 山田 澄生

Bibliographic Information

Other Title

• Representations of Discrete Groups and Geometric Topology on Manifoldss, Josai University

Abstract

type:text

A Riemann surface of higher genus has two important geometric structures; the complex structure and the hyperbolic metric. The Teichm¨uller space of Riemann surfaces hence can be regarded as a catalogue of both complex structures and hyperbolic metrics. In this article, we make a comparative study of these two characterizations of the Teichm¨uller space, by utilizing a natural L2 -product and a natural symplectic form defined on the space of complex structures, both of which behave nicely under the diffeomorphism group action.

identifier:JOS-13447777-1311

Journal

• Josai Mathematical Monographs

  Josai Mathematical Monographs 13 173-192, 2021-03

  城西大学大学院理学研究科

Keywords

• Teichm¨uller space
• hyperbolic geometry
• complex structure

Details

• CRID: 1390290700504745472
• NII Article ID: 120007027883
• NII Book ID: AA1141485X
• ISSN: 13447777
• DOI: 10.20566/13447777_13_173
• Web Site: https://libir.josai.ac.jp/il/meta_pub/G0000284repository_JOS-13447777-1311
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles
  • KAKEN