Caculus of Variation and the $L^{2}$-Bergman Metric on Teichmüller Space

Details Caculus of Variation and the $L^{2}$-Bergman Metric on Teichmüller Space Caculus of Variation and the $L^{2}$-Bergman Metric on Teichmüller Space

2005-06-28

arxiv.org/abs/math/0506569v4

Mathematics

Differential Geometry

16 pages. A missing reference added

Scientific paper

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.

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