The Morse Lemma on Banach Spaces

DOI10.2307/2038379zbMath0256.58003OpenAlexW4231969097WikidataQ125008156 ScholiaQ125008156MaRDI QIDQ5671409

Anthony J. Tromba

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038379

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differentiable maps on manifolds (58C25) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (5)

Morse theory and the calculus of variations ⋮ The Morse lemma on arbitrary Banach spaces ⋮ On the Morse-Bott property of analytic functions on Banach spaces with Łojasiewicz exponent one half ⋮ The Morse-Palais lemma on Banach spaces ⋮ Morse theory on Banach manifolds

Cites Work

• Morse theory on Hilbert manifolds
• The Morse lemma for Banach spaces
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