Zobrazeno 1 - 9
of 9
pro vyhledávání: '"R. A. Abdel-Baky"'
Autor:
A. A. Almoneef, R. A. Abdel-Baky
Publikováno v:
AIP Advances, Vol 14, Iss 7, Pp 075220-075220-6 (2024)
Geodesic curves on a surface play an essential role in reasonable implementation. A curve on a surface is a geodesic curve if its principal normal vector is aligned with the surface normal. Using the Serret–Frenet frame, the timelike (TL) surfaces
Externí odkaz:
https://doaj.org/article/c2cd95f7513642109dce06234f333efd
Publikováno v:
AIMS Mathematics, Vol 8, Iss 6, Pp 13875-13888 (2023)
In this paper, we study the singularities on a non-developable ruled surface according to Blaschke's frame in the Euclidean 3-space. Additionally, we prove that singular points occur on this kind of ruled surface and use the singularity theory techni
Externí odkaz:
https://doaj.org/article/19180220bf3444e5bdd4e153331a73d1
Autor:
M. Khalifa Saad, R. A. Abdel-Baky
Publikováno v:
International Journal of Analysis and Applications, Vol 21, Pp 119-119 (2023)
Curves on surfaces and their frames play an important role in differential geometry and in many branches of science such as mechanics and physics. So, we are interested in studying one of these surfaces along a curve lying on a surface. In this paper
Externí odkaz:
https://doaj.org/article/0bc49d3147f3450895342f8b5862640e
Autor:
R. A. Abdel-Baky, S. H. Nazra
Publikováno v:
International Journal of Analysis and Applications, Vol 17, Iss 4, Pp 559-577 (2019)
In this paper, we define a ruled surface normal to a surface along a curve on the surface. Then, we analyze the necessary and sufficient condition for that surface to be normal developable. Also, we solve the problem when the resulting developable su
Externí odkaz:
https://doaj.org/article/ca6e350447db46728deb4e603cab983e
Publikováno v:
Chemistry of Natural Compounds. 58:368-370
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be6a3245d80d0b3ea9f903bd5d09f280
https://doi.org/10.1007/s10600-022-03683-0
https://doi.org/10.1007/s10600-022-03683-0
Autor:
R. A. Abdel-Baky, S. H. Nazra
Publikováno v:
International Journal of Mathematical Analysis. 13:401-421
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b0b9d1c2d6c665066cc11f40eedc9ea
https://doi.org/10.12988/ijma.2019.9844
https://doi.org/10.12988/ijma.2019.9844
Autor:
R. A. Abdel-Baky
Publikováno v:
Bulletin of the Iranian Mathematical Society. 45:951-963
This paper studies the rotation minimizing frames that are associated with spatial curves and the sweeping surfaces which are generated by these frames. Then the necessary and sufficient condition for sweeping surface to be developable ruled surface
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7596683e3d73156b7282d76189eca4c4
https://doi.org/10.1007/s41980-018-0177-8
https://doi.org/10.1007/s41980-018-0177-8
Autor:
R. A. Abdel Baky
Publikováno v:
Volume: 51, Issue: 02
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
In this paper, a differential equation characterizing the dual spherical curves and an explicit solution of this differential equation is given. Without the precondition on the dual torsion, which is the torsion is nowhere zero, a necessary and suffi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d16b8a835fcf5996c1d05204e38275c7
https://doi.org/10.1501/commua1_0000000356
https://doi.org/10.1501/commua1_0000000356