International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Mannheim partner curves in the special linear group

Thiago A. DE A. Mendonça
  • Thiago A. DE A. Mendonça
  • Departamento de Matemática, Universidade Federal Rural de Pernambuco, Recife-PE, Brazil.
  • Google Scholar


  •  Received: 12 January 2023
  •  Accepted: 03 March 2023
  •  Published: 31 March 2023

References

Belkhelfa M, Dillen F, Inoguchi J (2022). Parallel surfaces in the real special linear group . Bulletin of the Australian Mathematical Society 65:183-189.
Crossref

 

Blum R (1966). A remarkable class of Mannheim curves. Canadian Mathematical Bulletin 9:223-228.
Crossref

 

Ceylan AY, Ergin AA (2016). Mannheim partner curves in Cartan-Vranceanu 3-space. Filomat 30(4):1089-1095.
Crossref

 

Gok I, Okuyucu OZ, Ekmekci N, Yayli Y (2014). On Mannheim partner curves in three dimensional Lie groups. Miskolc Mathematical Notes 15(2):467-479.
Crossref

 

Has A, Yilmaz B (2021). Various Characterizations for Quaternionic Mannheim Curves in Three-Dimensional Euclidean Space. Journal of Universal Mathematics 4 (1):62-72.
Crossref

 

Kaymaz F, Aksoyak FK (2017). Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space. Mathematical Science and Applications E-Notes 5(1):34-39.
Crossref

 

Lang S (1985). . Springer, New York 105.
Crossref

 

Mannheim A (1878). De l'emploi de la courbe représentative de la surface des normales principales d'une courbe gauche pour la démonstration de propriétés relatives à cette courbure. C.R. Comptes Rendus des Séances de l'Académie des Sciences. Paris 86:1254-1256.

 

Montaldo S, Onnis I, Passamani A (2016). Helix sufaces in the special linear group. Annali di Matematica 195:59-77.
Crossref

 

Okuyucu OZ, Yaz?c? BD (2022). Generalized Bertrand and Mannheim Curves in 3D Lie Groups. Fundamental Journal of Mathematics and Applications 5:201-209.
Crossref

 

Orbay K, Kasap E (2009). On Mannheim partner curves in International Journal of Physical Sciences 4:261-264.
Crossref

 

Senyurt S (2012). Natural lifts and the geodesic sprays for the spherical indicatrices of the Mannheim partner curves in . International Journal of the Physical Science 7(16):2414-2421.
Crossref

 

Senyurt S, Altun Y, Cavahir C (2017a). Mannheim Partner Curve a Different View. International Journal of Mathematics Combinatorics 2:84-91.

 

Senyurt S, Altun Y, Cavahir C (2017b). Smarandache curves according to Sabban frame for Darboux vector of Mannheim partner curve. American Intitute of Physics
Crossref

 

Tul S, Sario lugil A (2011). Mannheim partner curves in 3-dimensional Heisenberg group. International Journal of Physical Sciences 6:8093-8096.
Crossref

 

Turhan E, K rpinar T (2010). Mannheim curves in terms of its timelike biharmonic partner curves in hte Lorentzian Heisenberg Group Heis3 Revista Notas de Matemática 6(2):20-27.
Crossref

 

Wang F, Liu H (2008). Mannheim partner curves in 3-space. Journal of Geometry 88:120-126.
Crossref