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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Date:2009
Main Author: Sharko, V.V.
Format: Article
Language:English
Published: Інститут математики НАН України 2009
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/6331
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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
id nasplib_isofts_kiev_ua-123456789-6331
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Morse-Bott functions on manifolds with semi-free circle action
spellingShingle Morse-Bott functions on manifolds with semi-free circle action
Sharko, V.V.
Геометрія, топологія та їх застосування
title_short 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_sort morse-bott functions on manifolds with semi-free circle action
author Sharko, V.V.
author_facet Sharko, V.V.
topic Геометрія, топологія та їх застосування
topic_facet Геометрія, топологія та їх застосування
publishDate 2009
language English
publisher Інститут математики НАН України
format Article
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.
issn 1815-2910
url https://nasplib.isofts.kiev.ua/handle/123456789/6331
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.
work_keys_str_mv AT sharkovv morsebottfunctionsonmanifoldswithsemifreecircleaction
first_indexed 2025-12-07T17:38:50Z
last_indexed 2025-12-07T17:38:50Z
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