Caculus of Variation and the $L^{2}$-Bergman Metric on Teichm\"{u}ller Space
Differential Geometry
2007-05-23 v4 Complex Variables
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.
Keywords
Cite
@article{arxiv.math/0506569,
title = {Caculus of Variation and the $L^{2}$-Bergman Metric on Teichm\"{u}ller Space},
author = {Zheng Huang},
journal= {arXiv preprint arXiv:math/0506569},
year = {2007}
}
Comments
16 pages. A missing reference added