Morse-Bott functions on manifolds with semi-free circle action

• Date: 2009
• Main Author: Sharko, V.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Subjects: Геометрія, топологія та їх застосування
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/6331
• 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.

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...