Equivalence of intrinsic measures on Teichmüller space

Eric Overholser

Vol. 235 (2008), No. 2, 297–301

DOI: 10.2140/pjm.2008.235.297

Abstract

Here we show that the Carathéodory, Eisenman–Kobayashi, and Kähler–Einstein volume forms are equivalent on Teichmüller space.

Keywords

Teichmüller space, Eisenman–Kobayashi measure, Carathéodory measure

Mathematical Subject Classification 2000

Primary: 32T05, 32Q45

Milestones

Received: 20 August 2007

Published: 1 April 2008