Reeb components of leafwise complex foliations and their symmetries I

We review the standard Hopf construction of Reeb components with leafwise complex structure and almost determine the group of leafwise holomorphic smooth automorphisms for Reeb components of certain type in the case of complex leaf dimension one. In particular, it contains an infinite dimensional ve...

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Hauptverfasser: Horiuchi, Tomohiro, Mitsumatsu, Yoshihiko
Format: Artikel
Sprache:eng
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Zusammenfassung:We review the standard Hopf construction of Reeb components with leafwise complex structure and almost determine the group of leafwise holomorphic smooth automorphisms for Reeb components of certain type in the case of complex leaf dimension one. In particular, it contains an infinite dimensional vector space.
DOI:10.48550/arxiv.1508.07162