Bour's Theorem under the Conformal Map with Light like Profile Curve

dc.authoridTR114189en_US
dc.authoridTR101933en_US
dc.authoridTR6623en_US
dc.contributor.authorBozkurt, Zehra
dc.contributor.authorGok, Ismail
dc.contributor.authorEkmekci, F. Nejat
dc.contributor.authorYayli, Yusuf
dc.date.accessioned2015-04-03T13:37:01Z
dc.date.available2015-04-03T13:37:01Z
dc.date.issued2013
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractA generalized helicoid and a rotational surface have an isometric relation by Bour's theorem. It is that "A generalized helicoid is isometric to a rotational surface. Hence, helices on the helicoid can be transformed to parallel circles on the rotational surface under the isometric transformation". In this study, we give a conformal relation between a generalized helicoid (with lightlike profile curve) and a spiral surface (with lightlike profile curve). In this sitiutation, we can say that helices on the helicoid can be transformed to spirals on the spiral surface under the conformal transformation. Also, some related examples and their figures are given. 2000 Mathematics Subject Classification. 53A05, 53C10Sen_US
dc.identifier.citationBEYKENT UNIVERSITY JOURNAL OF SCIENCE AND ENGINEERING Volume 6(2) 2013, 1 - 30tr_TR
dc.identifier.issn1307-3818
dc.language.isoenen_US
dc.publisherBeykent Üniversitesitr_TR
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.subjectBour's theoremtr_TR
dc.subjectspiral surfacetr_TR
dc.subjectrotational surfacetr_TR
dc.subjecthelicoidtr_TR
dc.titleBour's Theorem under the Conformal Map with Light like Profile Curveen_US
dc.typeArticleen_US

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