DSpace at EWHA: First Order Elliptic Operators on Compact Manifolds

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DC Field	Value	Language
dc.contributor.author	김수진	-
dc.creator	김수진	-
dc.date.accessioned	2016-08-25T06:08:26Z	-
dc.date.available	2016-08-25T06:08:26Z	-
dc.date.issued	1996	-
dc.identifier.other	OAK-000000029712	-
dc.identifier.uri	https://dspace.ewha.ac.kr/handle/2015.oak/182177	-
dc.identifier.uri	http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000029712	-
dc.description.abstract	We describe the simple first order differential operators on vector bundles over the compact differentiable manifolds. We introduce the Spectral theorem for these operators and apply to prove the Hodge decomposition theorem.;콤팩트인 미분 다양체상에서 simple인 미분 연산자를 소개하고, 이 연산자의 Spectral 정리를 이용하여 Hodge decomposition 정리를 증명한다.	-
dc.description.tableofcontents	ABSTRACT = Ⅱ INTRODUCTION = 1 Ⅰ. PRELIMINARIES = 2 Ⅱ. Elliptic Operator = 5 1. Differential operators on vector bundles = 5 2. First order differential operators = 8 3. Examples = 9 Ⅲ. Elliptic Theory = 11 Ⅳ. Hodge decomposition theorem = 19 References = 25 논문초록 = 26	-
dc.format	application/pdf	-
dc.format.extent	649468 bytes	-
dc.language	eng	-
dc.publisher	이화여자대학교 대학원	-
dc.subject	Elliptic Operators	-
dc.subject	Compact Manifolds	-
dc.subject	콤팩트	-
dc.title	First Order Elliptic Operators on Compact Manifolds	-
dc.type	Master's Thesis	-
dc.format.page	ii, 26 p.	-
dc.identifier.thesisdegree	Master	-
dc.identifier.major	대학원 수학과	-
dc.date.awarded	1997. 2	-