Full metadata record
DC Field | Value | Language |
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dc.contributor.author | 송정은 | - |
dc.creator | 송정은 | - |
dc.date.accessioned | 2016-08-25T04:08:05Z | - |
dc.date.available | 2016-08-25T04:08:05Z | - |
dc.date.issued | 1997 | - |
dc.identifier.other | OAK-000000023386 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/180610 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000023386 | - |
dc.description.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. | - |
dc.description.tableofcontents | CONTENTS = ⅰ ABSTRACT = ⅱ Chapter1 Introduction = 1 Chapter2 Morse Theory = 3 2.1 Definitions and Morse Lemma = 4 2.2 Main Theorem in Morse Theory = 6 Chapter3 Hilbert Manifold = 10 3.1 Riemannian Metric and Energy Integral = 10 3.2 The Condition(C) of Palais and Smale = 14 3.3 Nondegeneracy Theorem = 17 References = 20 논문초록 = 21 | - |
dc.format | application/pdf | - |
dc.format.extent | 595948 bytes | - |
dc.language | eng | - |
dc.publisher | The Graduate School, Ewha Womans University | - |
dc.subject | Morse theory | - |
dc.subject | hilbert manifolds | - |
dc.subject | manifold | - |
dc.subject | Mathematics | - |
dc.title | Morse theory on hilbert manifolds | - |
dc.type | Master's Thesis | - |
dc.format.page | ii, 21 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 1998. 2 | - |