A proof of the Morse-Bott Lemma

Augustin Banyaga; David E. Hurtubise

doi:10.1016/S0723-0869(04)80014-8

A proof of the Morse-Bott Lemma

Augustin Banyaga, David E. Hurtubise

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

It is often said that the Morse-Bott Lemma can be viewed as a "parameterized" Morse Lemma, and its proof should follow from the differentiability of the methods used to prove the Morse Lemma. The goal of this expository paper is to fill in the details. We present Palais' proof of the Morse Lemma using Moser's path method, which yields the necessary differentiability.

Original language	English (US)
Pages (from-to)	365-373
Number of pages	9
Journal	Expositiones Mathematicae
Volume	22
Issue number	4
DOIs	https://doi.org/10.1016/S0723-0869(04)80014-8
State	Published - 2004

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/S0723-0869(04)80014-8

Cite this

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A proof of the Morse-Bott Lemma

Abstract

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