| dc.contributor.author |
Kilicoglu, Seyda |
|
| dc.contributor.author |
Senyurt, Suleyman |
|
| dc.date.accessioned |
2022-08-16T12:31:57Z |
|
| dc.date.available |
2022-08-16T12:31:57Z |
|
| dc.date.issued |
2015 |
|
| dc.identifier.uri |
http://doi.org/10.1007/s00006-015-0535-z |
|
| dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2155 |
|
| dc.description.abstract |
Deriving curves based on the other curves is a subject in geometry. Involute-evolute curves, Bertrand curves are this kind of curves. By using the similiar method we produce a new ruled surface based on the other ruled surface. In [14], D-scroll, which is known as the rectifying developable surface, of any curve and the involute D-scroll of the curve alpha are alreadyDefined, E-3. In this paper, we consider these special ruled surfaces D-scroll and involute D-scroll, associated to a space curve with curvature k(1) not equal 0 and involute beta. We will examine theDifferential geometric elements (such as, Weingarten map S, curvatures K and H) of the involute D-scroll and D-scroll relative to each other. Further we will examined the fundamental forms too. |
en_US |
| dc.language.iso |
eng |
en_US |
| dc.publisher |
SPRINGER BASEL AGPICASSOPLATZ 4, BASEL 4052, SWITZERLAND |
en_US |
| dc.relation.isversionof |
10.1007/s00006-015-0535-z |
en_US |
| dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
| dc.subject |
Darboux vectorinvolute curveruled surfacehelix |
en_US |
| dc.title |
On the Differential Geometric Elements of the Involute D-Scroll in E-3 |
en_US |
| dc.type |
article |
en_US |
| dc.relation.journal |
ADVANCES IN APPLIED CLIFFORD ALGEBRAS |
en_US |
| dc.contributor.department |
Ordu Üniversitesi |
en_US |
| dc.contributor.authorID |
0000-0003-1097-5541 |
en_US |
| dc.identifier.volume |
25 |
en_US |
| dc.identifier.issue |
4 |
en_US |
| dc.identifier.startpage |
977 |
en_US |
| dc.identifier.endpage |
988 |
en_US |