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

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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

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Differential Geometry, Complex Variables, 32G15; 53C21; 30F60

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http://salesiana.dossiersoluciones.com/handle/123456789/102074

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506569
 http://arxiv.org/abs/math/0506569

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arXiv