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HARMONICITY AND DIFFERENTIAL EQUATION OF INVOLUTE OF A CURVE IN E-3

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dc.contributor.author Cakir, Osman
dc.contributor.author Senyurt, Suleyman
dc.date.accessioned 2022-08-17T05:40:33Z
dc.date.available 2022-08-17T05:40:33Z
dc.date.issued 2019
dc.identifier.uri http://doi.org/10.2298/TSCI190730401C
dc.identifier.uri http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2358
dc.description.abstract In this paper, we first give necessary conditions in which we can decide whether a given curve is biharmonic or 1-type harmonic and differential equations characterizing the regular curves. Then we research the Frenet formulas of involute of a unit speed curve by making use of the relations between the involute of a curve and the curve itself. In addition we apply these formulas to define the essential conditions by which one can determine whether the involute of a unit speed curve is biharmonic or 1-type harmonic and then we write differential equations characterizing the involute curve by means of Frenet apparatus of the unit speed curve. Finally we examined the helix as an example to illustrate how the given theorems work. en_US
dc.language.iso eng en_US
dc.publisher VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA en_US
dc.relation.isversionof 10.2298/TSCI190730401C en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Laplace operator; connection; differential equation; bihar-monic; involute curve; mean curvature en_US
dc.title HARMONICITY AND DIFFERENTIAL EQUATION OF INVOLUTE OF A CURVE IN E-3 en_US
dc.type article en_US
dc.relation.journal THERMAL SCIENCE en_US
dc.contributor.department Ordu Üniversitesi en_US
dc.contributor.authorID 0000-0003-1097-5541 en_US
dc.identifier.volume 23 en_US
dc.identifier.issue 6 en_US
dc.identifier.startpage S2119 en_US
dc.identifier.endpage S2125 en_US


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