Quasi-isometry and deformation of Calabi-Yau manifolds

Kefeng Liu UCLA Sheng Rao Wuhan University 杨晓奎 Morningside Center, AMSS, CAS

Differential Geometry mathscidoc:1610.10003

Distinguished Paper Award in 2017

Invent. Math., 199, 423-253, 2015
We prove several formulas related to Hodge theory and theKodaira– Spencer–Kuranishi deformation theory of Kähler manifolds. As applications, wepresent a construction of globally convergent power series of integrableBeltrami differentials on Calabi–Yau manifolds and also a construction of global canonical family of holomorphic (n, 0)-forms on the deformation spaces of Calabi–Yau manifolds. Similar constructions are also applied to the deformation spaces of compact Kähler manifolds.
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  title={Quasi-isometry and deformation of Calabi-Yau manifolds},
  author={Kefeng Liu, Sheng Rao, and 杨晓奎},
  booktitle={Invent. Math.},
Kefeng Liu, Sheng Rao, and 杨晓奎. Quasi-isometry and deformation of Calabi-Yau manifolds. 2015. Vol. 199. In Invent. Math.. pp.423-253. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161003223857786641061.
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