2环面上Morse函数的Kronrod-Reeb图的自同构

IF 0.2 Q4 MATHEMATICS Methods of Functional Analysis and Topology Pub Date : 2019-12-02 DOI:10.31392/mfat-npu26_1.2020.07

A. Kravchenko, Bohdan Feshchenko

{"title":"2环面上Morse函数的Kronrod-Reeb图的自同构","authors":"A. Kravchenko, Bohdan Feshchenko","doi":"10.31392/mfat-npu26_1.2020.07","DOIUrl":null,"url":null,"abstract":"This paper is devoted to the study of special subgroups of the automorphism groups of Kronrod-Reeb graphs of a Morse functions on $2$-torus $T^2$ which arise from the action of diffeomorphisms preserving a given Morse function on $T^2$. In this paper we give a full description of such classes of groups.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2019-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-torus\",\"authors\":\"A. Kravchenko, Bohdan Feshchenko\",\"doi\":\"10.31392/mfat-npu26_1.2020.07\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is devoted to the study of special subgroups of the automorphism groups of Kronrod-Reeb graphs of a Morse functions on $2$-torus $T^2$ which arise from the action of diffeomorphisms preserving a given Morse function on $T^2$. In this paper we give a full description of such classes of groups.\",\"PeriodicalId\":44325,\"journal\":{\"name\":\"Methods of Functional Analysis and Topology\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2019-12-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Methods of Functional Analysis and Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31392/mfat-npu26_1.2020.07\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Methods of Functional Analysis and Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31392/mfat-npu26_1.2020.07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 3

摘要

本文研究了在$2$-环面$T^2$上Morse函数的Kronrod-Reb图的自同构群的特殊子群，这些子群是由保持给定Morse函数在$T^2*上的微分同胚作用引起的。在本文中，我们给出了这类群的一个完整的描述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-torus

This paper is devoted to the study of special subgroups of the automorphism groups of Kronrod-Reeb graphs of a Morse functions on $2$-torus $T^2$ which arise from the action of diffeomorphisms preserving a given Morse function on $T^2$. In this paper we give a full description of such classes of groups.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Methods of Functional Analysis and Topology MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： Methods of Functional Analysis and Topology (MFAT), founded in 1995, is a peer-reviewed arXiv overlay journal publishing original articles and surveys on general methods and techniques of functional analysis and topology with a special emphasis on applications to modern mathematical physics.

期刊最新文献

New results on the existence of periodic solutions for a higher-order p -Laplacian neutral differential equation with multiple deviating arguments Markov dynamics on the cone of discrete Radon measures On one problem of Yu. M. Berezansky Equality between different types of invertibility Tensor product and variants of Weyl's type theorem for p - w -hyponormal operators