Levi-flat hypersurfaces immersed in complex surfaces of positive curves

Deroin B

首页> 外文期刊>Annales scientifiques de l'Ecole normale superieure >Levi-flat hypersurfaces immersed in complex surfaces of positive curves

【24h】

Levi-flat hypersurfaces immersed in complex surfaces of positive curves

机译：浸没在正曲面的复杂曲面中的左平超曲面

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We show that there is no immersed compact Levi-flat hypersurface of class C-1 in the complex projective plane, if the foliation by holomorphic curves carries a harmonic current which is absolutely continuous with respect to the Lebesgue measure, with a density bounded from above and below. This is a corollary of a rigidity result for immersed compact Levi-flat hypersurfaces in complex surfaces of non-negative curvature. (c) 2005 Published by Elsevier SAS.

机译：我们证明，如果全纯曲线的叶面携带相对于Lebesgue量度绝对连续的谐波电流，且密度从上面限定，则在复杂的投影平面中没有C-1类的紧凑的Levi-flat超曲面。及以下。这是将紧凑的Levi-flat超曲面浸入非负曲率的复杂曲面中的刚度结果的必然结果。（c）2005由Elsevier SAS发布。

著录项

来源
《Annales scientifiques de l'Ecole normale superieure》 |2005年第1期|共19页
作者
Deroin B;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类自然科学总论;
关键词
FOLIATIONS; MANIFOLDS; THEOREM;

机译：叶;流形;定理;

相似文献

外文文献
中文文献
专利

1. Levi-flat hypersurfaces immersed in complex surfaces of positive curves [J] . Deroin B Annales scientifiques de l'Ecole normale superieure . 2005,第1期

机译：浸没在正曲面的复杂曲面中的左平超曲面
2. Singular set of a Levi-flat hypersurface is Levi-flat [J] . Lebl J. Mathematische Annalen . 2013,第3期

机译：Levi-flat超曲面的奇异集是Levi-flat
3. Regularity of the (partial derivative)over-bar operator and Siu's theorem about the non-existence of Levi-flat hypersurfaces in the complex projective space CPn, n >= 3 [J] . Iordan A, Matthey F Comptes rendus. Mathematique . 2008,第7a8期

机译：（偏导数）过分算子的正则性和Siu定理关于复射影空间CPn中不存在Levi平面超曲面的问题，n> = 3
4. Curves, Hypersurfaces, and Good Pairs of Adjacency Relations [C] . Valentin E. Brimkov, Reinhard Klette International Workshop on Combinatorial Image Analysis(IWCIA 2004); 20041201-03; Auckland(NZ) . 2004

机译：曲线，超曲面和良好的邻接关系对
5. Rational Curves on Hypersurfaces [D] . Riedl, Eric. 2015

机译：高度曲线的理性曲线
6. Complex submanifolds in real-analytic pseudoconvex hypersurfaces [O] . Klas Diederich, John Erik Fornaess 1977

机译：实解析伪凸超曲面中的复杂子流形
7. SINGULAR LEVI-FLAT HYPERSURFACES IN COMPLEX PROJECTIVE SPACE INDUCED BY CURVES IN THE GRASSMANNIAN [O] . 2016

机译：GRassmaNNIaN曲线引起的复杂投射空间中的奇异LEVI-平坦超曲面

Levi-flat hypersurfaces immersed in complex surfaces of positive curves

摘要

著录项

相似文献

相关主题

期刊订阅