Irrationally elliptic closed characteristics on symmetric compact convex hypersurfaces in R^8

IF 0.7 4区数学 Q2 MATHEMATICS

Topological Methods in Nonlinear Analysis Pub Date : 2023-03-04 DOI:10.12775/tmna.2021.057

Wen Wang

引用次数: 0

Abstract

Let $\Sigma$ be a $C^3$ compact symmetric convex hypersurface in $\mathbb{R}^{8}$. We prove that when $\Sigma$ carries exactly four geometrically distinct closed characteristics, then there are at least two irrationally elliptic closed characteristics on $\Sigma$.

查看原文本刊更多论文

R^8中对称紧致凸超曲面的非有理椭圆闭特性

设$\Sigma$是$\mathbb{R}^{8}$中的$C^3$紧致对称凸超曲面。我们证明了当$\Sigma$恰好带有四个几何上不同的闭特征时，则$\Sigma$上至少存在两个无理数椭圆闭特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Topological Methods in Nonlinear Analysis 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.