A proof of the Morse-Bott lemma.

DOI10.1016/S0723-0869(04)80014-8zbMath1078.57031OpenAlexW1993114705WikidataQ124936500 ScholiaQ124936500MaRDI QIDQ2571092

Augustin Banyaga, Hurtubise, David E.

Publication date: 3 November 2005

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0723-0869(04)80014-8

zbMATH Keywords

critical pointsHessianMorse indexMorse functioncritical submanifoldnondegenerate critical pointsMorse-Bott function

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points and critical submanifolds in differential topology (57R70)

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Cites Work

• Unnamed Item
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Nondegenerate critical manifolds
• Morse Theory. (AM-51)
• Lectures on Morse theory, old and new
• On the Volume Elements on a Manifold
• The Morse lemma for Banach spaces

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