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...
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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 |
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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> |
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subjects | Mathematics - Dynamical Systems Mathematics - Geometric Topology |
title | Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4) |
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