On the normal bundle of Levi-flat real hypersurfaces

被引：3
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.
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页码：343 / 359
页数：17
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