On the rigidity of horizontal slices

zbMATH Open1032.32010arXivmath/0505585MaRDI QIDQ1871550

Zhiqin Lu

Publication date: 15 March 2004

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Abstract: In this paper, we proved a rigidity theorem of the Hodge metric for concave horizontal slices and a local rigidity theorem for the monodromy representation.

Full work available at URL: https://arxiv.org/abs/math/0505585

zbMATH Keywords

rigiditymonodromy representationconcave horizontal slicesdeformation of the complex structure of Calabi-Yau manifoldHodge metric

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Complex-analytic moduli problems (32G13) Deformations of general structures on manifolds (58H15)

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