Vanishing cohomology theorems and stability of complex analytic foliations

Joan Girbau

Research output: Contribution to journalArticleResearchpeer-review

Abstract

In this paper we deal with a complex analytic foliation of a compact complex manifold endowed with a bundle-like metric and give a transversally holomorphic rigidity theorem (Theorem 9.1) for these foliations, depending on curvature conditions. We give some examples for which we study holomorphic rigidity. The classical vanishing theorems of Nakano, Griffiths and Le Potier are the main tools we use to prove our results. © 1981 The Weizmann Science Press of Israel.
Original languageEnglish
Pages (from-to)235-254
JournalIsrael Journal of Mathematics
Volume40
Issue number3-4
DOIs
Publication statusPublished - 1 Sep 1981

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