| dc.contributor.author |
Senyurt, Suleyman |
|
| dc.contributor.author |
Ayvaci, Kebire Hilal |
|
| dc.contributor.author |
Canli, Davut |
|
| dc.date.accessioned |
2023-01-06T10:31:11Z |
|
| dc.date.available |
2023-01-06T10:31:11Z |
|
| dc.date.issued |
2021 |
|
| dc.identifier.citation |
Senyurt, S., Ayvaci, KH., Canli, D. (2021). Family of Surfaces with a Common Bertrand D- Curve as Isogeodesic, Isoasymptotic and Line of Curvature. Applications and Applied Mathematics-An International Journal, 16(2), -. |
en_US |
| dc.identifier.isbn |
1932-9466 |
|
| dc.identifier.uri |
https://www.webofscience.com/wos/woscc/full-record/WOS:000729180100024 |
|
| dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3343 |
|
| dc.description |
WoS Categories : Mathematics, Applied
Web of Science Index : Emerging Sources Citation Index (ESCI)
Research Areas : Mathematics |
en_US |
| dc.description.abstract |
In this paper, we establish the necessary and sufficient conditions to parameterize a surface family on which the Bertrand D-partner of any given curve lies as isogeodesic, isoasymptotic or curvature line in E-3. Then, we calculate the fundamental forms of these surfaces and determine the developability and minimality conditions with the Gaussian and mean curvatures. We also extend this idea on ruled surfaces and provide the required conditions for those to be developable. Finally, we present some examples and graph the corresponding surfaces. |
en_US |
| dc.language.iso |
eng |
en_US |
| dc.publisher |
PRAIRIE VIEW A & M UNIV, DEPT MATHEMATICS PRAIRIE VIEW |
en_US |
| dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
| dc.subject |
PARAMETRIC REPRESENTATION; PENCIL |
en_US |
| dc.subject |
Bertrand D- curves; Parametric curves; Asymptotic curves; Geodesic curves; Curvature line; Ruled surfaces |
en_US |
| dc.title |
Family of Surfaces with a Common Bertrand D- Curve as Isogeodesic, Isoasymptotic and Line of Curvature |
en_US |
| dc.type |
article |
en_US |
| dc.relation.journal |
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL |
en_US |
| dc.contributor.department |
Ordu Üniversitesi |
en_US |
| dc.identifier.volume |
16 |
en_US |
| dc.identifier.issue |
2 |
en_US |