Primitivoids of curves in Minkowski plane
In this work, we investigate the differential geometric characteristics of pedal and primitive curves in a Minkowski plane. A primitive is specified by the opposite structure for creating the pedal, and primitivoids are known as comparatives of the primitive of a plane curve. We inspect the relevanc...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023123?viewType=HTML |
| _version_ | 1811179809370275840 |
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| author | Yanlin Li A. A. Abdel-Salam M. Khalifa Saad |
| author_facet | Yanlin Li A. A. Abdel-Salam M. Khalifa Saad |
| author_sort | Yanlin Li |
| collection | DOAJ |
| description | In this work, we investigate the differential geometric characteristics of pedal and primitive curves in a Minkowski plane. A primitive is specified by the opposite structure for creating the pedal, and primitivoids are known as comparatives of the primitive of a plane curve. We inspect the relevance between primitivoids and pedals of plane curves that relate with symmetry properties. Furthermore, under the viewpoint of symmetry, we expand these notions to the frontal curves in the Minkowski plane. Then, we present the relationships and properties of the frontal curves in this category. Numerical examples are presented here in support of our main results. |
| first_indexed | 2024-04-11T06:40:52Z |
| format | Article |
| id | doaj.art-e1fe022e0a0c4305a51a48df6f3bfa23 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T06:40:52Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-e1fe022e0a0c4305a51a48df6f3bfa232022-12-22T04:39:33ZengAIMS PressAIMS Mathematics2473-69882023-01-01812386240610.3934/math.2023123Primitivoids of curves in Minkowski planeYanlin Li 0A. A. Abdel-Salam1M. Khalifa Saad21. School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt 3. Department of Mathematics, Faculty of Science, NBU of Arar, Arar 1321, KSA2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt4. Department of Mathematics, Faculty of Science, Islamic University of Madinah, KSAIn this work, we investigate the differential geometric characteristics of pedal and primitive curves in a Minkowski plane. A primitive is specified by the opposite structure for creating the pedal, and primitivoids are known as comparatives of the primitive of a plane curve. We inspect the relevance between primitivoids and pedals of plane curves that relate with symmetry properties. Furthermore, under the viewpoint of symmetry, we expand these notions to the frontal curves in the Minkowski plane. Then, we present the relationships and properties of the frontal curves in this category. Numerical examples are presented here in support of our main results.https://www.aimspress.com/article/doi/10.3934/math.2023123?viewType=HTMLprimitiveprimitivoidspedaloidsminkowski plane |
| spellingShingle | Yanlin Li A. A. Abdel-Salam M. Khalifa Saad Primitivoids of curves in Minkowski plane AIMS Mathematics primitive primitivoids pedaloids minkowski plane |
| title | Primitivoids of curves in Minkowski plane |
| title_full | Primitivoids of curves in Minkowski plane |
| title_fullStr | Primitivoids of curves in Minkowski plane |
| title_full_unstemmed | Primitivoids of curves in Minkowski plane |
| title_short | Primitivoids of curves in Minkowski plane |
| title_sort | primitivoids of curves in minkowski plane |
| topic | primitive primitivoids pedaloids minkowski plane |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023123?viewType=HTML |
| work_keys_str_mv | AT yanlinli primitivoidsofcurvesinminkowskiplane AT aaabdelsalam primitivoidsofcurvesinminkowskiplane AT mkhalifasaad primitivoidsofcurvesinminkowskiplane |