Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4)

In the paper we determine the class of diffeomorphism of three-dimensional regular common level surfaces of Hamiltonian and Casimir functions for the analog of Kovalevskaya case on Lie algebra $\textrm{so}(4)$. We start from Fomenko-Zieschang invariants of Lioville foliations on these manifolds that...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Kibkalo, Vladislav
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Kibkalo, Vladislav
description In the paper we determine the class of diffeomorphism of three-dimensional regular common level surfaces of Hamiltonian and Casimir functions for the analog of Kovalevskaya case on Lie algebra $\textrm{so}(4)$. We start from Fomenko-Zieschang invariants of Lioville foliations on these manifolds that were calculated by the author earlier.
doi_str_mv 10.48550/arxiv.1912.05536
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1912_05536</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1912_05536</sourcerecordid><originalsourceid>FETCH-LOGICAL-a676-8a701733cc8ef2914be3ea83bf0f21c95c11333076e46b1a47106f79ccd2c2de3</originalsourceid><addsrcrecordid>eNotz71OwzAUBWAvDKjwAEx4LEOC7ZvYyYgq_kQklkiM0bV7nUaEuLJLRN4eWjodnTMc6WPsRoq8qMpS3GP8GeZc1lLloixBX7KPNuzDGPqFB8-HFGii-FfSd_ToKB3XtzDjSHP6xAX5MB2oj2hH4g4T8TDxw454MxDHsScbkaewLu6u2IXHMdH1OVesfXpsNy9Z8_78unloMtRGZxUaIQ2AcxV5VcvCEhBWYL3wSrq6dFICgDCaCm0lFkYK7U3t3FY5tSVYsdv_25Os28fhC-PSHYXdSQi_iLdLoQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4)</title><source>arXiv.org</source><creator>Kibkalo, Vladislav</creator><creatorcontrib>Kibkalo, Vladislav</creatorcontrib><description>In the paper we determine the class of diffeomorphism of three-dimensional regular common level surfaces of Hamiltonian and Casimir functions for the analog of Kovalevskaya case on Lie algebra $\textrm{so}(4)$. We start from Fomenko-Zieschang invariants of Lioville foliations on these manifolds that were calculated by the author earlier.</description><identifier>DOI: 10.48550/arxiv.1912.05536</identifier><language>eng</language><subject>Mathematics - Dynamical Systems ; Mathematics - Geometric Topology</subject><creationdate>2019-12</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1912.05536$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1912.05536$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Kibkalo, Vladislav</creatorcontrib><title>Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4)</title><description>In the paper we determine the class of diffeomorphism of three-dimensional regular common level surfaces of Hamiltonian and Casimir functions for the analog of Kovalevskaya case on Lie algebra $\textrm{so}(4)$. We start from Fomenko-Zieschang invariants of Lioville foliations on these manifolds that were calculated by the author earlier.</description><subject>Mathematics - Dynamical Systems</subject><subject>Mathematics - Geometric Topology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz71OwzAUBWAvDKjwAEx4LEOC7ZvYyYgq_kQklkiM0bV7nUaEuLJLRN4eWjodnTMc6WPsRoq8qMpS3GP8GeZc1lLloixBX7KPNuzDGPqFB8-HFGii-FfSd_ToKB3XtzDjSHP6xAX5MB2oj2hH4g4T8TDxw454MxDHsScbkaewLu6u2IXHMdH1OVesfXpsNy9Z8_78unloMtRGZxUaIQ2AcxV5VcvCEhBWYL3wSrq6dFICgDCaCm0lFkYK7U3t3FY5tSVYsdv_25Os28fhC-PSHYXdSQi_iLdLoQ</recordid><startdate>20191211</startdate><enddate>20191211</enddate><creator>Kibkalo, Vladislav</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20191211</creationdate><title>Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4)</title><author>Kibkalo, Vladislav</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a676-8a701733cc8ef2914be3ea83bf0f21c95c11333076e46b1a47106f79ccd2c2de3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Mathematics - Dynamical Systems</topic><topic>Mathematics - Geometric Topology</topic><toplevel>online_resources</toplevel><creatorcontrib>Kibkalo, Vladislav</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Kibkalo, Vladislav</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4)</atitle><date>2019-12-11</date><risdate>2019</risdate><abstract>In the paper we determine the class of diffeomorphism of three-dimensional regular common level surfaces of Hamiltonian and Casimir functions for the analog of Kovalevskaya case on Lie algebra $\textrm{so}(4)$. We start from Fomenko-Zieschang invariants of Lioville foliations on these manifolds that were calculated by the author earlier.</abstract><doi>10.48550/arxiv.1912.05536</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.1912.05536
ispartof
issn
language eng
recordid cdi_arxiv_primary_1912_05536
source arXiv.org
subjects Mathematics - Dynamical Systems
Mathematics - Geometric Topology
title Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4)
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-26T22%3A00%3A00IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Topology%20of%20isoenergy%20surfaces%20of%20Kovalevskaya%20integrable%20case%20on%20the%20Lie%20algebra%20so(4)&rft.au=Kibkalo,%20Vladislav&rft.date=2019-12-11&rft_id=info:doi/10.48550/arxiv.1912.05536&rft_dat=%3Carxiv_GOX%3E1912_05536%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true