Involute Partner-Ruled Surfaces Formed by Involutes of Spacelike Curves in Minkowski Three-Space
We introduced the concept of involute partner-ruled surfaces, which are formed by the involutes of spacelike curves and additional conditions ensuring the presence of definite surface normals in Minkowski three-space. First, we provided the criteria for each couple of involute partner-ruled surfaces...
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MDPI AG
2025-04-01
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| Online Access: | https://www.mdpi.com/2075-1680/14/5/337 |
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| author | Özgür Boyacıoğlu Kalkan Süleyman Şenyurt Davut Canlı Luca Grilli |
| author_facet | Özgür Boyacıoğlu Kalkan Süleyman Şenyurt Davut Canlı Luca Grilli |
| author_sort | Özgür Boyacıoğlu Kalkan |
| collection | DOAJ |
| description | We introduced the concept of involute partner-ruled surfaces, which are formed by the involutes of spacelike curves and additional conditions ensuring the presence of definite surface normals in Minkowski three-space. First, we provided the criteria for each couple of involute partner-ruled surfaces to be simultaneously developable and minimal. Then, we established the requirements for the coordinate curves lying on these surfaces to be geodesic, asymptotic, and lines of curvature. We also expanded this paper with an example by providing graphical illustrations of the involute partner-ruled surfaces. |
| format | Article |
| id | doaj-art-3449980b894f476e909f4c83ec4e61ad |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-3449980b894f476e909f4c83ec4e61ad2025-08-20T02:33:38ZengMDPI AGAxioms2075-16802025-04-0114533710.3390/axioms14050337Involute Partner-Ruled Surfaces Formed by Involutes of Spacelike Curves in Minkowski Three-SpaceÖzgür Boyacıoğlu Kalkan0Süleyman Şenyurt1Davut Canlı2Luca Grilli3Afyon Vocational School, Afyon Kocatepe University, 03200 Afyonkarahisar, TürkiyeDepartment of Mathematics, Ordu University, 52200 Ordu, TürkiyeDepartment of Mathematics, Ordu University, 52200 Ordu, TürkiyeDepartment of Economics, Management and Territory, University of Foggia, 71121 Foggia, ItalyWe introduced the concept of involute partner-ruled surfaces, which are formed by the involutes of spacelike curves and additional conditions ensuring the presence of definite surface normals in Minkowski three-space. First, we provided the criteria for each couple of involute partner-ruled surfaces to be simultaneously developable and minimal. Then, we established the requirements for the coordinate curves lying on these surfaces to be geodesic, asymptotic, and lines of curvature. We also expanded this paper with an example by providing graphical illustrations of the involute partner-ruled surfaces.https://www.mdpi.com/2075-1680/14/5/337partner-ruled surfaceinvolute curveMinkowski space |
| spellingShingle | Özgür Boyacıoğlu Kalkan Süleyman Şenyurt Davut Canlı Luca Grilli Involute Partner-Ruled Surfaces Formed by Involutes of Spacelike Curves in Minkowski Three-Space Axioms partner-ruled surface involute curve Minkowski space |
| title | Involute Partner-Ruled Surfaces Formed by Involutes of Spacelike Curves in Minkowski Three-Space |
| title_full | Involute Partner-Ruled Surfaces Formed by Involutes of Spacelike Curves in Minkowski Three-Space |
| title_fullStr | Involute Partner-Ruled Surfaces Formed by Involutes of Spacelike Curves in Minkowski Three-Space |
| title_full_unstemmed | Involute Partner-Ruled Surfaces Formed by Involutes of Spacelike Curves in Minkowski Three-Space |
| title_short | Involute Partner-Ruled Surfaces Formed by Involutes of Spacelike Curves in Minkowski Three-Space |
| title_sort | involute partner ruled surfaces formed by involutes of spacelike curves in minkowski three space |
| topic | partner-ruled surface involute curve Minkowski space |
| url | https://www.mdpi.com/2075-1680/14/5/337 |
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