论流形边界上具有奇点的列维平坦超曲面

IF 0.8 3区数学 Q2 MATHEMATICS Mathematische Nachrichten Pub Date : 2024-07-15 DOI:10.1002/mana.202300343

Arturo Fernández-Pérez, Gustavo Marra

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引用次数: 0

摘要

我们研究边界流形上具有奇点的实解析李维平超曲面的胚芽。我们证明了实解析李维平超曲面的正常形式的存在，该形式由、、和奇点的实部消失所定义。最后，我们证明了边界上有奇点的实解析李维平超曲面的莫尔斯-韦伊(Morse-Vey) Lemma。

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On Levi-flat hypersurfaces with singularities on a manifold boundary

We study germs of real-analytic Levi-flat hypersurfaces with singularities on a boundary manifold. We prove the existence of a normal form for a real-analytic Levi-flat hypersurface which is defined by the vanishing of the real part of $B_{k}$ , $C_{k}$ , and $F_{4}$ singularities. Finally, we prove a version of Morse–Vey's lemma for a real-analytic Levi-flat hypersurface with singularities on the boundary.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index

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