The generalized Morse lemma and the Euler characteristic on Banach manifolds

DOI10.1016/0166-8641(89)90003-5zbMath0678.58010OpenAlexW2004252269WikidataQ124814808 ScholiaQ124814808MaRDI QIDQ1124182

Tixiang Wang, Soon-Kyu Kim

Publication date: 1989

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(89)90003-5

zbMATH Keywords

Morse theoryEuler characteristicMorse lemmaBanach manifolds

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fredholm structures on infinite-dimensional manifolds (58B15) Infinite-dimensional manifolds (58B99)

Related Items (2)

Hilbert manifolds with corners of finite codimension and the theory of optimal control ⋮ On the Poincaré-Hopf Theorem for Functionals Defined on Banach Spaces

Cites Work

• A sufficient condition for a critical point of a functional to be a minimum and its application to Plateau's problem
• A general approach to Morse theory
• The Euler characteristic of vector fields on Banach manifolds and a globalization of Leray-Schauder degree
• Geometry of manifolds of maps
• On differentiable functions with isolated critical points
• Morse theory on Hilbert manifolds
• An Infinite Dimensional Version of Sard's Theorem
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