On the geometry of the orbits of Killing vector fields
Let \(D\) be a set of smooth vector fields on the smooth manifold \(M\).It is known that orbits of \(D\) are submanifolds of M. Partition \(F\) of M into orbits of \(D\) is a singular foliation. In this paper we are studying geometry of foliation which is generated by orbits of a family of Killing v...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2012-03 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | A Ya Narmanov Aslonov, J O |
| description | Let \(D\) be a set of smooth vector fields on the smooth manifold \(M\).It is known that orbits of \(D\) are submanifolds of M. Partition \(F\) of M into orbits of \(D\) is a singular foliation. In this paper we are studying geometry of foliation which is generated by orbits of a family of Killing vector fields.In the case \(M=R^3\) it is obtained full geometrical classification of \(F\). Throughout this paper the word "smooth" refers to a class \(C^\infty\). |
| format | Article |
| fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2081546857</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2081546857</sourcerecordid><originalsourceid>FETCH-proquest_journals_20815468573</originalsourceid><addsrcrecordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mQw889TKMlIVUhPzc9NLSmqVMhPA_Pzi5IyS4pBPO_MnJzMvHSFstTkkvwihbTM1JyUYh4G1rTEnOJUXijNzaDs5hri7KFbUJRfWJpaXBKflV9alAeUijcysDA0NTGzMDU3Jk4VAJPgNPM</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2081546857</pqid></control><display><type>article</type><title>On the geometry of the orbits of Killing vector fields</title><source>Free E- Journals</source><creator>A Ya Narmanov ; Aslonov, J O</creator><creatorcontrib>A Ya Narmanov ; Aslonov, J O</creatorcontrib><description>Let \(D\) be a set of smooth vector fields on the smooth manifold \(M\).It is known that orbits of \(D\) are submanifolds of M. Partition \(F\) of M into orbits of \(D\) is a singular foliation. In this paper we are studying geometry of foliation which is generated by orbits of a family of Killing vector fields.In the case \(M=R^3\) it is obtained full geometrical classification of \(F\). Throughout this paper the word "smooth" refers to a class \(C^\infty\).</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Fields (mathematics) ; Manifolds (mathematics) ; Orbits</subject><ispartof>arXiv.org, 2012-03</ispartof><rights>2012. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</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>780,784</link.rule.ids></links><search><creatorcontrib>A Ya Narmanov</creatorcontrib><creatorcontrib>Aslonov, J O</creatorcontrib><title>On the geometry of the orbits of Killing vector fields</title><title>arXiv.org</title><description>Let \(D\) be a set of smooth vector fields on the smooth manifold \(M\).It is known that orbits of \(D\) are submanifolds of M. Partition \(F\) of M into orbits of \(D\) is a singular foliation. In this paper we are studying geometry of foliation which is generated by orbits of a family of Killing vector fields.In the case \(M=R^3\) it is obtained full geometrical classification of \(F\). Throughout this paper the word "smooth" refers to a class \(C^\infty\).</description><subject>Fields (mathematics)</subject><subject>Manifolds (mathematics)</subject><subject>Orbits</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mQw889TKMlIVUhPzc9NLSmqVMhPA_Pzi5IyS4pBPO_MnJzMvHSFstTkkvwihbTM1JyUYh4G1rTEnOJUXijNzaDs5hri7KFbUJRfWJpaXBKflV9alAeUijcysDA0NTGzMDU3Jk4VAJPgNPM</recordid><startdate>20120316</startdate><enddate>20120316</enddate><creator>A Ya Narmanov</creator><creator>Aslonov, J O</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20120316</creationdate><title>On the geometry of the orbits of Killing vector fields</title><author>A Ya Narmanov ; Aslonov, J O</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20815468573</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Fields (mathematics)</topic><topic>Manifolds (mathematics)</topic><topic>Orbits</topic><toplevel>online_resources</toplevel><creatorcontrib>A Ya Narmanov</creatorcontrib><creatorcontrib>Aslonov, J O</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>A Ya Narmanov</au><au>Aslonov, J O</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>On the geometry of the orbits of Killing vector fields</atitle><jtitle>arXiv.org</jtitle><date>2012-03-16</date><risdate>2012</risdate><eissn>2331-8422</eissn><abstract>Let \(D\) be a set of smooth vector fields on the smooth manifold \(M\).It is known that orbits of \(D\) are submanifolds of M. Partition \(F\) of M into orbits of \(D\) is a singular foliation. In this paper we are studying geometry of foliation which is generated by orbits of a family of Killing vector fields.In the case \(M=R^3\) it is obtained full geometrical classification of \(F\). Throughout this paper the word "smooth" refers to a class \(C^\infty\).</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2012-03 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_proquest_journals_2081546857 |
| source | Free E- Journals |
| subjects | Fields (mathematics) Manifolds (mathematics) Orbits |
| title | On the geometry of the orbits of Killing vector fields |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T02%3A06%3A53IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=On%20the%20geometry%20of%20the%20orbits%20of%20Killing%20vector%20fields&rft.jtitle=arXiv.org&rft.au=A%20Ya%20Narmanov&rft.date=2012-03-16&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2081546857%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2081546857&rft_id=info:pmid/&rfr_iscdi=true |