(ℝℙ2n−1,ξstd) is not exactly fillable for n≠2k

IF 2 1区数学 Geometry & Topology Pub Date : 2020-01-27 DOI:10.2140/gt.2021.25.3013

Zheng Zhou

引用次数: 6

Abstract

We prove that $(\mathbb{RP}^{2n-1},\xi_{std})$ is not exactly fillable for any $n\ne 2^k$ and there exist strongly fillable but not exactly fillable contact manifolds for all dimension $\ge 5$.

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(f²n−1，ξstd)不是完全可填充的形式≠2k

我们证明了$(\mathbb{RP}^{2n-1},\xi_{std})$对于任何$n\ne 2^k$都是不完全可填充的，并且对于所有维度$\ge 5$都存在强可填充但不完全可填充的接触流形。

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

Geometry & Topology 数学-数学

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5.00%

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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.

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