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Morse theory on hilbert manifolds

Title
Morse theory on hilbert manifolds
Authors
송정은
Issue Date
1997
Department/Major
대학원 수학과
Keywords
Morse theoryhilbert manifoldsmanifoldMathematics
Publisher
The Graduate School, Ewha Womans University
Degree
Master
Abstract
We introduce the main theorem of Morse Theory and the properties of Hilbert Manifold. We show that the space of the paths in a Manifold is a Hilbert manifold which satisfies the condition (C) of Palais and Smale. Then we apply the main theorem of Morse Theory to the Hilbert manifold.;Morse론의 주요한 정리와 Hilbert 다양체의 여러 가지 성질을 소개한다. 다양체안의 패스 공간이 Hilbert 다양체가 되고 Palais 와 Smale 의 조건을 만족함을 보인다. Morse론의 주요한 정리를 Hilbert 다양체에 적용해 본다.
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