Explicit construction of stationary discs and its consequences for nondegenerate quadrics

IF 1.2 2区 数学 Q1 MATHEMATICS
Florian Bertrand, Francine Meylan
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引用次数: 0

Abstract

We give an explicit construction of a key family of stationary discs attached to a nondegenerate model quadric in $\mathbb{C}^N$ and derive a necessary condition for which (each lift) of those stationary discs is uniquely determined by its $1$-jet at a given point via a local diffeomorphism. This unique $1$-jet determination is a crucial step to deduce $2$-jet determination for CR automorphisms of generic real submanifolds in $\mathbb{C}^N$.
固定圆盘的显式构造及其对非退化二次曲面的影响
我们给出了$\mathbb{C}^N$中非退化模型二次曲面上的关键平稳盘族的显式构造,并推导了这些平稳盘的每个升力在给定点上由其$1$射流通过局部微分同构唯一确定的必要条件。这一独特的$1$射流决定是推导$\mathbb{C}^N$中泛型实子流形CR自同构的$2$射流决定的关键一步。
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来源期刊
CiteScore
2.30
自引率
0.00%
发文量
90
审稿时长
>12 weeks
期刊介绍: The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication. The Annals of the Normale Scuola di Pisa - Science Class is published quarterly Soft cover, 17x24
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