Deformations of Riemann Surfaces

Jörg Winkelmann

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arXiv · 1410.7086

Deformations of Riemann Surfaces

Jörg Winkelmann

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Abstract

We prove that every Riemann surface not isomorphic to the Riemann sphere admits an infinitesimal deformation of the complex structure. The proof is based in an investigation of the length of geodesics for the Kobayashi/Poincare metric.

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Jörg Winkelmann. 2014-10-26. Deformations of Riemann Surfaces. https://arxiv.org/abs/1410.7086

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