Morse-Bott functions on manifolds with semi-free circle action
Let W²ⁿ be a closed manifold of dimension ≥ 6 with semi-free circle having finitely many fixed points. We study S¹-invariant Morse-Bott functions on W²ⁿ. The aim of this paper is to obtain exact values of minimal numbers of singular circles of some indexes of S¹-invariant Morse-Bott functions on W²ⁿ...
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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/6331 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Morse-Bott functions on manifolds with semi-free circle action / V.V. Sharko // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 518-523. — Бібліогр.: 4 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862712654510948352 |
|---|---|
| author | Sharko, V.V. |
| author_facet | Sharko, V.V. |
| citation_txt | Morse-Bott functions on manifolds with semi-free circle action / V.V. Sharko // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 518-523. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| description | Let W²ⁿ be a closed manifold of dimension ≥ 6 with semi-free circle having finitely many fixed points. We study S¹-invariant Morse-Bott functions on W²ⁿ. The aim of this paper is to obtain exact values of minimal numbers of singular circles of some indexes of S¹-invariant Morse-Bott functions on W²ⁿ.
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| first_indexed | 2025-12-07T17:38:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-6331 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-2910 |
| language | English |
| last_indexed | 2025-12-07T17:38:50Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sharko, V.V. 2010-02-23T14:53:18Z 2010-02-23T14:53:18Z 2009 Morse-Bott functions on manifolds with semi-free circle action / V.V. Sharko // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 518-523. — Бібліогр.: 4 назв. — англ. 1815-2910 https://nasplib.isofts.kiev.ua/handle/123456789/6331 Let W²ⁿ be a closed manifold of dimension ≥ 6 with semi-free circle having finitely many fixed points. We study S¹-invariant Morse-Bott functions on W²ⁿ. The aim of this paper is to obtain exact values of minimal numbers of singular circles of some indexes of S¹-invariant Morse-Bott functions on W²ⁿ. en Інститут математики НАН України Геометрія, топологія та їх застосування Morse-Bott functions on manifolds with semi-free circle action Article published earlier |
| spellingShingle | Morse-Bott functions on manifolds with semi-free circle action Sharko, V.V. Геометрія, топологія та їх застосування |
| title | Morse-Bott functions on manifolds with semi-free circle action |
| title_full | Morse-Bott functions on manifolds with semi-free circle action |
| title_fullStr | Morse-Bott functions on manifolds with semi-free circle action |
| title_full_unstemmed | Morse-Bott functions on manifolds with semi-free circle action |
| title_short | Morse-Bott functions on manifolds with semi-free circle action |
| title_sort | morse-bott functions on manifolds with semi-free circle action |
| topic | Геометрія, топологія та їх застосування |
| topic_facet | Геометрія, топологія та їх застосування |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/6331 |
| work_keys_str_mv | AT sharkovv morsebottfunctionsonmanifoldswithsemifreecircleaction |