Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 조용승 | - |
dc.contributor.author | 劉点志 | - |
dc.creator | 劉点志 | - |
dc.date.accessioned | 2016-08-25T04:08:00Z | - |
dc.date.available | 2016-08-25T04:08:00Z | - |
dc.date.issued | 2004 | - |
dc.identifier.other | OAK-000000009550 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/178325 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000009550 | - |
dc.description.abstract | In this paper,we show that the influence of Gaussian curvature penetrates to the topological conformation of M, when it is a surface in R³- to properties independent of the geometry of M. We introduce the Gauss-Bonnet Theorem on compact oriented surfaces and its applications. Finally, we show that a compact surface has negative Euler characteristic if and only if it admits a metric of constant negative curvature. | - |
dc.description.tableofcontents | CONTENTS 1 Introduction = 1 2 Preliminaries = 2 2.1 Arc-length = 2 2.2 covariant derivative and Connection form = 3 2.3 geodesic curvature k_(g) = 5 2.4 gaussian curvature = 8 3 the gauss-bonnet theorem = 11 3.1 the gauss-bonnet formula = 11 3.2 euler characteristic = 13 3.3 the gauss-bonnet theorem = 14 4 applications = 16 References = 21 | - |
dc.format | application/pdf | - |
dc.format.extent | 245763 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.title | Euler Chracteristics of Surfaces with Negative Curvature | - |
dc.type | Master's Thesis | - |
dc.creator.othername | Yoo, Jeomjee | - |
dc.format.page | ii, 21 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 2005. 2 | - |