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Affine structure on the Teichmuller spaces and period maps for Calabi-Yau manifolds

  • Author(s): Guan, Feng
  • Advisor(s): Guan, Feng
  • et al.
Abstract

In this thesis, we prove that the Hodge metric completion of the Teichmuller space of polarized and marked Calabi-Yau manifolds is a complex affine manifold. As applications, we show that the extended period map from the completion space is injective into the period domain, that the completion space is a bounded domain of holomorphy and admits a complete Kahler-Einstein metric.

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