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math.DG2012★ 2 cited
New proofs of the Torelli theorems for Riemann surfaces
Kefeng Liu, Quanting Zhao, Sheng Rao
In this paper, by using the Kuranishi coordinates on the Teichmüller space and the explicit deformation formula of holomorphic one-forms on Riemann surface, we give an explicit exp…
math.DG2012★ 3 cited
Quasi-isometry and deformations of Calabi-Yau manifolds
Kefeng Liu, Sheng Rao, Xiaokui Yang
We prove several formulas related to Hodge theory and the Kodaira-Spencer-Kuranishi deformation theory of Kähler manifolds. As applications, we present a construction of globally c…