Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 안미선 | - |
dc.creator | 안미선 | - |
dc.date.accessioned | 2016-08-25T04:08:18Z | - |
dc.date.available | 2016-08-25T04:08:18Z | - |
dc.date.issued | 1986 | - |
dc.identifier.other | OAK-000000022736 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/180458 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000022736 | - |
dc.description.abstract | Let M be an analytic Riemannian manifold of dimension n. For small r>0, denote by Sm(r) the (n-1)-dimensional volume of a geodesic sphere Gm(r) of radius r with center m. Then the growth function A(s) of Gm(r) is given by A(s)=Sm(r+s) for small s≥0. We characterize the space of constant curvature by the equations A"(s)+C(s)A(s)=0 for all Gm(r) or A'''(s)+C (s)A''(s)+C (s)A' (s)+C (s)A(s)=0 for all Gm(r). | - |
dc.description.tableofcontents | ABSTRACT = ⅰ CONTENTS = ⅱ INTRODUCTION = ⅲ Ⅰ. Preliminaries = 1 Ⅱ. Power Series Expansions in Normal Coordinates = 7 Ⅲ. Power series expansions for volume functions = 15 Ⅳ. Growth functions by hypersurfaces. = 24 REFERENCES = 31 | - |
dc.format | application/pdf | - |
dc.format.extent | 670065 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.subject | geodesic spheres | - |
dc.subject | 측지구 증가함수 | - |
dc.subject | mathematics | - |
dc.title | Growth functions of geodesic spheres | - |
dc.type | Master's Thesis | - |
dc.title.subtitle | 측지구 증가함수에 관한 연구 | - |
dc.format.page | 32 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 1987. 2 | - |