Tight neighborhoods of contact submanifolds

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry Pub Date : 2018-02-20 DOI:10.4310/JSG.2020.V18.N6.A4

Luis Hern'andez-Corbato, Luc'ia Mart'in-Merch'an, F. Presas

引用次数: 5

Abstract

We prove that any small enough neighborhood of a closed contact submanifold is always tight under a mild assumption on its normal bundle. The non-existence of $C^0$--small positive loops of contactomorphisms in general overtwisted manifolds is shown as a corollary.

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接触子流形的紧邻域

在一个温和的假设下，证明了一个闭合接触子流形的任何足够小的邻域总是紧的。在一般的过扭流形中，证明了C^0$——接触同构小正环的不存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.