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dc.contributor.author Xiong, Jianfei en_US
dc.date.accessioned 2009-09-09T19:49:06Z en_US
dc.date.available 2009-09-09T19:49:06Z en_US
dc.date.issued 2004 en_US
dc.identifier http://proquest.umi.com/pqdweb?index=0&did=813789991&SrchMode=1&sid=4&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1233780200&clientId=23440 en_US
dc.identifier.uri http://hdl.handle.net/10125/11726 en_US
dc.description Mode of access: World Wide Web. en_US
dc.description Thesis (Ph. D.)--University of Hawaii at Manoa, 2004. en_US
dc.description Includes bibliographical references (leaves 113-114). en_US
dc.description Electronic reproduction. en_US
dc.description Also available by subscription via World Wide Web en_US
dc.description vii, 114 leaves, bound ill. 29 cm en_US
dc.description.abstract In the first part of this dissertation the spherical evolute, the spherical involute, the spherical orthotomic and the spherical antiorthotomic are investigated and their local diffeomorphic types are determined. The concept of the spherical conic is introduced. It is proven that the incident angle and reflection angle are equal for the spherical conic. The necessary and sufficient conditions for the spherical conic to be a circle are given. In the second part of this dissertation the ruled surfaces of normals and binormals of a regular space curve are locally classified under the left-right action according to the types of the curve. For this purpose some results are obtained on the relationship of the powers of terms in the Taylor series of an invertible function and its inverse. en_US
dc.format electronic resource en_US
dc.language.iso en-US en_US
dc.relation Theses for the degree of Doctor of Philosophy (University of Hawaii at Manoa). Mathematics; no. 4553 en_US
dc.rights All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner. en_US
dc.subject Sphere en_US
dc.subject Conics, Spherical en_US
dc.title Geometry and singularities of spatial and spherical curves en_US
dc.type Thesis en_US
dc.type.dcmi Text en_US

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