Lu, Zhiqin On the rigidity of horizontal slices. (English) Zbl 1032.32010 Port. Math. (N.S.) 59, No. 4, 409-433 (2002). Summary: We prove a rigidity theorem of the Hodge metric for concave horizontal slices and a local rigidity theorem for the monodromy representation. MSC: 32G13 Complex-analytic moduli problems 58H15 Deformations of general structures on manifolds 32Q25 Calabi-Yau theory (complex-analytic aspects) Keywords:deformation of the complex structure of Calabi-Yau manifold; rigidity; Hodge metric; concave horizontal slices; monodromy representation PDFBibTeX XMLCite \textit{Z. Lu}, Port. Math. (N.S.) 59, No. 4, 409--433 (2002; Zbl 1032.32010) Full Text: arXiv EuDML