paper

Caculus of Variation and the -Bergman Metric on Teichmüller Space

arXiv:math/0506569

Abstract

The canonical metric on a Riemann surface is the pullback from the Euclidean metric on the Jacobian variety via the period map. We study its induced L^2 metric on Teichmuller space via a variational approach.

16 pages. A missing reference added