caa a22 4500 469117257 CHVBK 20180323133128.0 cr unu---uuuuu 170328e19921201xx s 000 0 eng 10.1007/BF02921574 doi (NATIONALLICENCE)springer-10.1007/BF02921574 On the topology of compact smooth three-dimensional Levi-flat hypersurfaces [Elektronische Daten] [David Barrett, Takashi Inaba] We study topological conditions that must be satisfied by a compactC ∞ Levi-flat hypersurface in a two-dimensional complex manifold, as well as related questions about the holonomy of Levi-flat hypersurfaces. As a consequence of our work, we show that no two-dimensional complex manifold admits a subdomain Ω with compact nonemptyC ∞ boundary such that Ω ≅ ℂ2. CRC Press, Inc, 1992 Holonomy nationallicence Levi-foliation nationallicence Levi-flat hypersurface nationallicence Barrett David Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USA aut Inaba Takashi Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USA aut The Journal of Geometric Analysis Springer-Verlag 2/6(1992-12-01), 489-497 1050-6926 2:6<489 1992 2 12220 https://doi.org/10.1007/BF02921574 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02921574 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Barrett David Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USA aut NATIONALLICENCE 700 1- Inaba Takashi Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USA aut NATIONALLICENCE 773 0- The Journal of Geometric Analysis Springer-Verlag 2/6(1992-12-01), 489-497 1050-6926 2:6<489 1992 2 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer