RULED SURFACES GENERATED BY SALKOWSKI CURVE AND ITS FRENET VECTORS IN EUCLIDEAN 3-SPACE
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Scopus EXPORT DATE: 16 August 2024 @ARTICLE{Çakıl2024259, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85198645673&doi=10.11568%2fkjm.2024.32.2.259&partnerID=40&md5=27c9214bcdc03a2ad66829dcc94d1f93}, affiliations = {Department of Mathematical Engineering, Gümüşhane University, Gümüşhane, 29100, Turkey; Department of Computer Technology, Gümüşhane University, Gümüşhane, 29100, Turkey}, correspondence_address = {S.G. Mazlum; Department of Computer Technology, Gümüşhane University, Gümüşhane, 29100, Turkey; email: sumeyyegur@gumushane.edu.tr}, publisher = {Kangwon Kyungki Mathematical Society}, issn = {19768605}, language = {English}, abbrev_source_title = {Korean. J. Math.} }Abstract
In present study, we introduce ruled surfaces whose base curve is the Salkowski curve in Euclidean 3-space and whose generating lines consist of the Frenet vectors of this curve (tangent, principal normal and binormal vectors). Then, we produce regular surfaces from a vector with real coefficients, which is a linear com-bination of these vectors, and we examine some special cases for these surfaces. Moreover, we present some geometric properties and graphics of all these surfaces. © The Kangwon-Kyungki Mathematical Society, 2024.
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https://www.scopus.com/record/display.uri?eid=2-s2.0-85198645673&origin=SingleRecordEmailAlert&dgcid=raven_sc_affil_en_us_email&txGid=fa17a3e6fa80f3be1f8c673a2e3ca6f4https://dx.doi.org/10.11568/kjm.2024.32.2.259
https://hdl.handle.net/20.500.12440/6287