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

Zheng Huang

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

Zheng Huang

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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.

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Zheng Huang. 2006-04-30. Caculus of Variation and the $L^{2}$-Bergman Metric on Teichmüller Space. https://arxiv.org/abs/math/0506569

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