Biard, Séverine; Iordan, Andrei Nonexistence of Levi flat hypersurfaces with positive normal bundle in compact Kähler manifolds of dimension \(\geq 3\). (English) Zbl 1442.32042 Int. J. Math. 31, No. 1, Article ID 2050004, 14 p. (2020). Reviewer: Judith Brinkschulte (Leipzig) MSC: 32V40 32F32 32Q15 32W05 PDF BibTeX XML Cite \textit{S. Biard} and \textit{A. Iordan}, Int. J. Math. 31, No. 1, Article ID 2050004, 14 p. (2020; Zbl 1442.32042) Full Text: DOI
Koike, Takayuki; Ogawa, Noboru Local criteria for non-embeddability of Levi-flat manifolds. (English) Zbl 1395.32019 J. Geom. Anal. 28, No. 2, 1052-1077 (2018). MSC: 32V30 37F75 14B20 PDF BibTeX XML Cite \textit{T. Koike} and \textit{N. Ogawa}, J. Geom. Anal. 28, No. 2, 1052--1077 (2018; Zbl 1395.32019) Full Text: DOI
Fernández-Pérez, Arturo; Mol, Rogério; Rosas, Rudy Compact invariant sets for global holomorphic foliations. (Compact invariant sets for global holomorhic foliations.) (English) Zbl 1372.32039 Bull. Braz. Math. Soc. (N.S.) 48, No. 1, 19-28 (2017). MSC: 32S65 32V40 PDF BibTeX XML Cite \textit{A. Fernández-Pérez} et al., Bull. Braz. Math. Soc. (N.S.) 48, No. 1, 19--28 (2017; Zbl 1372.32039) Full Text: DOI
Ohsawa, Takeo A survey on Levi flat hypersurfaces. (English) Zbl 1337.32005 Fornæss, John Erik (ed.) et al., Complex geometry and dynamics. The Abel symposium 2013, Trondheim, Norway, July 2–5, 2013. Cham: Springer (ISBN 978-3-319-20336-2/hbk; 978-3-319-20337-9/ebook). Abel Symposia 10, 211-225 (2015). MSC: 32-02 32V40 PDF BibTeX XML Cite \textit{T. Ohsawa}, Abel Symp. 10, 211--225 (2015; Zbl 1337.32005) Full Text: DOI
Adachi, Masanori; Brinkschulte, Judith Curvature restrictions for Levi-flat real hypersurfaces in complex projective planes. (Restrictions sur une courbure des hypersurfaces réelles Levi-plates dans plans projectifs complexes.) (English. French summary) Zbl 1337.32048 Ann. Inst. Fourier 65, No. 6, 2547-2569 (2015). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 32V15 32V40 53B25 53C12 PDF BibTeX XML Cite \textit{M. Adachi} and \textit{J. Brinkschulte}, Ann. Inst. Fourier 65, No. 6, 2547--2569 (2015; Zbl 1337.32048) Full Text: DOI arXiv
Ohsawa, Takeo Classification of real analytic Levi flat hypersurfaces of 1-concave type in Hopf surfaces. (English) Zbl 1318.32016 Kyoto J. Math. 54, No. 3, 547-553 (2014). Reviewer: Alessandro Ghigi (Milano) MSC: 32F10 32V40 PDF BibTeX XML Cite \textit{T. Ohsawa}, Kyoto J. Math. 54, No. 3, 547--553 (2014; Zbl 1318.32016) Full Text: DOI Euclid
Cerveau, Dominique Some problems in the geometry of foliations for the 60th anniversary of IMPA. (Quelques problèmes en géométrie feuilletée pour les 60 années de l’IMPA.) (French. English summary) Zbl 1333.37061 Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 653-679 (2013). MSC: 37F75 32S65 PDF BibTeX XML Cite \textit{D. Cerveau}, Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 653--679 (2013; Zbl 1333.37061) Full Text: DOI
Sargsyan, Alla Nonexistence of Levi-degenerate hypersurfaces of constant signature in \(\mathrm {CP}^n\). (English) Zbl 1254.32052 Ark. Mat. 50, No. 1, 183-197 (2012). MSC: 32V40 PDF BibTeX XML Cite \textit{A. Sargsyan}, Ark. Mat. 50, No. 1, 183--197 (2012; Zbl 1254.32052) Full Text: DOI
Iordan, Andrei; Matthey, Fanny Regularity of the \(\overline \partial\) operator and Siu’s theorem about the non-existence of Levi-flat hypersurfaces in the complex projective space \(\mathbb {CP}_n\), \(n\geqslant 3\). (Régularité de l’opérateur \(\overline \partial\) et théorème de Siu sur la non-existence d’hypersurfaces Levi-plates dans l’espace projectif complexe \(\mathbb {CP}_n\), \(n\geqslant 3\).) (French) Zbl 1138.32021 C. R., Math., Acad. Sci. Paris 346, No. 7-8, 395-400 (2008). MSC: 32W05 32T99 32M15 PDF BibTeX XML Cite \textit{A. Iordan} and \textit{F. Matthey}, C. R., Math., Acad. Sci. Paris 346, No. 7--8, 395--400 (2008; Zbl 1138.32021) Full Text: DOI
Diederich, Klas; Ohsawa, Takeo On the displacement rigidity of Levi flat hypersurfaces – the case of boundaries of disc bundles over compact Riemann surfaces. (English) Zbl 1141.53040 Publ. Res. Inst. Math. Sci. 43, No. 1, 171-180 (2007). MSC: 53C24 53C55 32G07 32G08 32V15 32L05 30F35 14H30 PDF BibTeX XML Cite \textit{K. Diederich} and \textit{T. Ohsawa}, Publ. Res. Inst. Math. Sci. 43, No. 1, 171--180 (2007; Zbl 1141.53040) Full Text: DOI
Ohsawa, Takeo On the Levi-flats in complex tori of dimension two. (English) Zbl 1141.32016 Publ. Res. Inst. Math. Sci. 42, No. 2, 361-377 (2006). Reviewer: Andrea Spiro (Camerino) MSC: 32V40 53C40 PDF BibTeX XML Cite \textit{T. Ohsawa}, Publ. Res. Inst. Math. Sci. 42, No. 2, 361--377 (2006; Zbl 1141.32016) Full Text: DOI
Deroin, Bertrand Levi-flat hypersurfaces immersed in complex surfaces of positive curvature. (Hypersurfaces Levi-plates immergées dans les surfaces complexes de courbure positive.) (French) Zbl 1070.37031 Ann. Sci. Éc. Norm. Supér. (4) 38, No. 1, 57-75 (2005). Reviewer: Vasile Oproiu (Iaşi) MSC: 37F75 32S65 32C30 32V40 PDF BibTeX XML Cite \textit{B. Deroin}, Ann. Sci. Éc. Norm. Supér. (4) 38, No. 1, 57--75 (2005; Zbl 1070.37031) Full Text: DOI Numdam EuDML
Dwilewicz, Roman; Merker, Joël On the Hartogs-Bochner phenomenon for CR functions in \(P_2(\mathbb{C})\). (English) Zbl 1006.32028 Proc. Am. Math. Soc. 130, No. 7, 1975-1980 (2002). Reviewer: Mauro Nacinovich (Roma) MSC: 32V25 32V10 32V15 32D15 PDF BibTeX XML Cite \textit{R. Dwilewicz} and \textit{J. Merker}, Proc. Am. Math. Soc. 130, No. 7, 1975--1980 (2002; Zbl 1006.32028) Full Text: DOI arXiv