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Title: | Simultaneous characterizations of partner ruled surfaces using Flc frame |
Authors: | Li, Yanlin Eren, Kemal Ayvaci, Kebire Hilal Ersoy, Soley Ordu Üniversitesi 0000-0002-7183-7081 0000-0001-5273-7897 0000-0003-1614-3228 |
Keywords: | Flc frame, partner ruled surface, geodesic curve, asymptotic curve, polynomial curves |
Issue Date: | 2022 |
Publisher: | AMER INST MATHEMATICAL SCIENCES-AIMS-SPRINGFIELD |
Citation: | Li, YL., Eren, K., Ayvaci, KH., Ersoy, S. (2022). Simultaneous characterizations of partner ruled surfaces using Flc frame. AIMS Math., 7(11), 20213-20229. https://doi.org/10.3934/math.20221106 |
Abstract: | In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated. Then, the asymptotic, geodesic and curvature lines of the parameter curves of the partner ruled surfaces are simultaneously characterized. Finally, the examples of the partner ruled surfaces are given, and their graphs are drawn. |
Description: | WoS Categories: Mathematics, Applied; Mathematics Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED) Research Areas: Mathematics |
URI: | http://dx.doi.org/10.3934/math.20221106 https://www.webofscience.com/wos/woscc/full-record/WOS:000860313800001 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/5085 |
ISSN: | 2473-6988 |
Appears in Collections: | Matematik |
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