TY  - JOUR
T1  - 3-Boyutlu Öklid Uzayında 3-Tipinde Bishop Çatısına Göre Regle Yüzeyler
AU  - Altınkaya, Anıl
PY  - 2025
DA  - November
Y2  - 2025
DO  - 10.63716/guffd.1762272
JF  - Gazi Üniversitesi Fen Fakültesi Dergisi
JO  - GÜFFD
PB  - Gazi Üniversitesi
WT  - DergiPark
SN  - 2757-5543
SP  - 288
EP  - 299
VL  - 6
IS  - 2
LA  - tr
AB  - Bu çalışmada, ilk olarak, Öklid uzayında 3-tipinde Bishop çatısına göre regle yüzeyler tanımlanmıştır. Daha sonra bu yüzeylerin singülerliği, açılabilirliği ve striksiyon eğrileri elde edilmiştir. Sonrasında bu yüzeylerin Gauss ve ortalama eğrilikleri elde edildikten sonra minimal olma durumları incelenmiştir. Son olarak da, yüzeylerin dayanak eğrisinin 3-tipinde Bishop çatısına göre jeodezik eğri, asimptotik eğri ve eğrilik çizgisi olma durumları incelenmiş ve bulunan sonuçlar bir örnekle desteklenerek yüzey çizimleri MATLAB programı ile yapılmıştır.
KW  - Regle Yüzey
KW  - 3-Tipinde Bishop Çatısı
KW  - Öklidyen Uzay
CR  - Do Carmo, M. P. (1976). Differential Geometry of Curves and Surfaces. Prentice Hall Inc. Englewood Cliffs. New Jersey.
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CR  - Masal, M. and Azak, A. Z. (2015). The ruled surfaces according to type-2 Bishop Frame in the Euclidean 3-space. Mathematical Sciences and Applications E-Notes, 3(2), 74-83.
CR  - Mert, T. and Atçeken, M. (2021). Some Special Ruled Surfaces in Hyperbolic 3-Space, Konuralp Journal of Mathematics, 9(2), 298-309.
CR  - Karaca, E. (2022). Singularities of the ruled surfaces According to RM Frame and Natural Lift Curves, Cumhuriyet Science Journal, 43(2), 308.
CR  - Oztemir, Y. and Çalışkan, M. (2023). Intersections of ruled surfaces corresponding to curves on pseudo spheres in dual space, Journal of Science and Arts, 62, 61-76.
CR  - Boyacıoğlu Kalkan, Ö. and Şenyurt, S. (2024). Osculating Type Ruled Surfaces with Type-2 Bishop Frame in E^3. Symmetry, 16, 498.
CR  - Li, Y., Eren, K. and Ersoy, S. (2023). On simultaneous characterizations of partner-ruled surfaces in Minkowski 3-space. AIMS Mathematics, 8(9): 22256-22273. doi: 10.3934/math.20231135
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CR  - Eren K., Kosal, H.H. (2020). Evolution of Space Curves and the Special Ruled Surfaces with Modified Orthogonal Frame, AIMS Mathematics, 5(3), 2027– 2039.
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UR  - https://doi.org/10.63716/guffd.1762272
L1  - https://dergipark.org.tr/tr/download/article-file/5141652
ER  -