The Morse-Palais lemma on Banach spaces

Kuo, Hui-Hsiung

doi:10.1090/S0002-9904-1974-13507-X

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The Morse-Palais lemma on Banach spaces
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Bull. Amer. Math. Soc. 80 (1974), 363-365

References

Richard S. Palais, The Morse lemma for Banach spaces, Bull. Amer. Math. Soc. 75 (1969), 968–971. MR 253378, DOI 10.1090/S0002-9904-1969-12318-9
A. J. Tromba, The Morse lemma on Banach spaces, Proc. Amer. Math. Soc. 34 (1972), 396–402. MR 295395, DOI 10.1090/S0002-9939-1972-0295395-9
A. J. Tromba, The Morse lemma on arbitrary Banach spaces, Bull. Amer. Math. Soc. 79 (1973), 85–86. MR 305437, DOI 10.1090/S0002-9904-1973-13104-0
K. Uhlenbeck, Morse theory on Banach manifolds, Bull. Amer. Math. Soc. 76 (1970), 105–106. MR 253381, DOI 10.1090/S0002-9904-1970-12384-9