On the normal bundle of Levi-flat real hypersurfaces

被引：4

作者：

Brinkschulte, Judith ^{[1
]}

机构：

[1] Univ Leipzig, Math Inst, PF 100920, D-04009 Leipzig, Germany

来源：

MATHEMATISCHE ANNALEN | 2019年 / 375卷 / 1-2期

关键词：

NONEXISTENCE; MANIFOLDS; OPERATOR; DOMAINS; CPN;

D O I：

10.1007/s00208-018-1723-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a connected complex manifold of dimension >= 3 and M a smooth compact Levi-flat real hypersurface in X. We show that the normal bundle to the Levi foliation does not admit a Hermitian metric with positive curvature along the leaves. This generalizes a result obtained by Brunella.

引用

页码：343 / 359

页数：17

共 28 条

[1]

Adachi M, 2015, ANN I FOURIER, V65, P2547

[2] A local expression of the Diederich-Fornaess exponent and the exponent of conformal harmonic measures [J].

Adachi, Masanori .

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2015, 46 (01) :65-79

[3] On the Ampleness of Positive CR Line Bundles over Levi-flat Manifolds [J].

Adachi, Masanori .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2014, 50 (01) :153-167

[4]

Andreotti A., 1970, Ann. Sc. Norm. Super. Pisa, V24, P231

[5]

[Anonymous], 1996, Panor. Syntheses

[6] The partial derivative-problem with support conditions on some weakly pseudoconvex domains [J].

Brinkschulte, J .

ARKIV FOR MATEMATIK, 2004, 42 (02) :259-282

[7] On The Dynamics of Codimension One Holomorphic Foliations with Ample Normal Bundle [J].

Brunella, Marco .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (07) :3101-3113

[8]

CAMACHO C, 1988, PUBL MATH IHES, V68, P187

[9]

Cao JG, 2007, MATH Z, V256, P175, DOI 10.1007/s00209-006-0064-5

[10] L2 SERRE DUALITY ON DOMAINS IN COMPLEX MANIFOLDS AND APPLICATIONS [J].

Chakrabarti, Debraj ;

Shaw, Mei-Chi .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (07) :3529-3554

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