Quasi-isometry and deformations of Calabi-Yau manifolds

• 成果类型: Article
• 署名作者: Liu, Kefeng; Rao, Sheng; Yang, Xiaokui
• 署名单位: Zhejiang University; University of California System; University of California Los Angeles; Wuhan University; Northwestern University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-014-0516-1
• 发表日期: 2015
• 页码: 423-453
• 关键词: geometry

摘要

We prove several formulas related to Hodge theory and the Kodaira-Spencer-Kuranishi deformation theory of Kahler manifolds. As applications, we present a construction of globally convergent power series of integrable Beltrami differentials on Calabi-Yau manifolds and also a construction of global canonical family of holomorphic -forms on the deformation spaces of Calabi-Yau manifolds. Similar constructions are also applied to the deformation spaces of compact Kahler manifolds.