传说中的惠特尼把戏

IF 2 1区数学

Geometry & Topology Pub Date : 2019-08-13 DOI:10.2140/gt.2021.25.3229

Roger Casals, Dishant M. Pancholi, F. Presas

引用次数: 11

摘要

在这篇文章中，我们证明了一个Legendrian Whitney技巧，它允许消除余维二接触子流形和Legendrian子流形之间的交集，假设这样的平滑抵消是可能的。应用该技术证明了具有规定接触结构的余维二接触嵌入的存在h原理。

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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The Legendrian Whitney trick

In this article, we prove a Legendrian Whitney trick which allows for the removal of intersections between codimension-two contact submanifolds and Legendrian submanifolds, assuming such a smooth cancellation is possible. This technique is applied to show the existence h-principle for codimension-two contact embeddings with a prescribed contact structure.

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来源期刊

Geometry & Topology 数学-数学

自引率

5.00%

发文量

期刊介绍： Geometry and Topology is a fully refereed journal covering all of geometry and topology, broadly understood. G&T is published in electronic and print formats by Mathematical Sciences Publishers. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors" nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.