In this study, we define the generalized Mannheim Curves in n-dimensional Euclidean Space and obtain the caracterizations of the generalized
Mannheim curve
Blum, R., A remarkable class of Mannheim curves, Canad. Math. Bull., 9(1966), 223-228.
Gluck, H. Higher curvatures of curves in Euclidean space, Amer. Math. Monthly (1966), 73, 699–704.
Kahraman, T., Önder, M., Kazaz, M., U¼gurlu, H.H., Some Characterizations of Mannheim Partner Curves in Minkowski 3-space, Proceedings of the Estonian Academy of Sciences, (2011), 60,4,210-220.
Kızıltu¼g,S.,Yaylı, Y., On the quaternionic Mannheim curves of AW(k)-type in Euclidean space, Kuwait J. Sci.(2015); 42(2), pp. 128-140.
Liu, H. and Wang, F., Mannheim partner curves in 3-space, Journal of Geometry, 88(2008), 120-126.
Matsuda, H. and Yorozu, S., On generalized Mannheim curves in Euclidean 4-space, Nihonkai Math.J., 20(2009), no.1, 33-56.
Orbay, K. and Kasap, E., On Mannheim partner curves in E3, Int. J. of Phys. Sci., 4(5), (2009), 261-264.
Tigano O., Sulla determinazione delle curve di Mannheim, Matematiche Catania, 3(1948), 25-29.
Ersoy, S., Tosun, M., Matsuda, H.,Generalized Mannheim curves in Minkowski Space-Time E4, Mathematical Problems in Engineering, Volume 2011(2011), Article ID 539378,19 pages, doi./10.1155/2011/539378.
Önder M. and Kızıltu¼g S., Bertrand and Mannheim Partner D-curves on Parallel surfaces in
Minkowski 3-Space, Int. Journal of Geometry, vol:1(2012), No.2, 34-45.
Yoon, DW., Mannheim Curves in an n-dimensional Lorentz Manifold, International journal
of Pure and Applied Mathematics, Vol. 96 No. 2 (2014), 165-174.
Blum, R., A remarkable class of Mannheim curves, Canad. Math. Bull., 9(1966), 223-228.
Gluck, H. Higher curvatures of curves in Euclidean space, Amer. Math. Monthly (1966), 73, 699–704.
Kahraman, T., Önder, M., Kazaz, M., U¼gurlu, H.H., Some Characterizations of Mannheim Partner Curves in Minkowski 3-space, Proceedings of the Estonian Academy of Sciences, (2011), 60,4,210-220.
Kızıltu¼g,S.,Yaylı, Y., On the quaternionic Mannheim curves of AW(k)-type in Euclidean space, Kuwait J. Sci.(2015); 42(2), pp. 128-140.
Liu, H. and Wang, F., Mannheim partner curves in 3-space, Journal of Geometry, 88(2008), 120-126.
Matsuda, H. and Yorozu, S., On generalized Mannheim curves in Euclidean 4-space, Nihonkai Math.J., 20(2009), no.1, 33-56.
Orbay, K. and Kasap, E., On Mannheim partner curves in E3, Int. J. of Phys. Sci., 4(5), (2009), 261-264.
Tigano O., Sulla determinazione delle curve di Mannheim, Matematiche Catania, 3(1948), 25-29.
Ersoy, S., Tosun, M., Matsuda, H.,Generalized Mannheim curves in Minkowski Space-Time E4, Mathematical Problems in Engineering, Volume 2011(2011), Article ID 539378,19 pages, doi./10.1155/2011/539378.
Önder M. and Kızıltu¼g S., Bertrand and Mannheim Partner D-curves on Parallel surfaces in
Minkowski 3-Space, Int. Journal of Geometry, vol:1(2012), No.2, 34-45.
Yoon, DW., Mannheim Curves in an n-dimensional Lorentz Manifold, International journal
of Pure and Applied Mathematics, Vol. 96 No. 2 (2014), 165-174.
Öztekin, H., & Metin, E. (2017). MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(1), 98-107. https://doi.org/10.1501/Commua1_0000000779
Öztekin, Handan, ve Esra Metin. “MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66, sy. 1 (Şubat 2017): 98-107. https://doi.org/10.1501/Commua1_0000000779.
EndNote
Öztekin H, Metin E (01 Şubat 2017) MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 1 98–107.
IEEE
H. Öztekin ve E. Metin, “MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 66, sy. 1, ss. 98–107, 2017, doi: 10.1501/Commua1_0000000779.
ISNAD
Öztekin, Handan - Metin, Esra. “MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/1 (Şubat 2017), 98-107. https://doi.org/10.1501/Commua1_0000000779.
Öztekin, Handan ve Esra Metin. “MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 66, sy. 1, 2017, ss. 98-107, doi:10.1501/Commua1_0000000779.