MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE

Handan Öztekin; Esra Metin

doi:10.1501/Commua1_0000000779

MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE

Year 2017, Volume: 66 Issue: 1, 98 - 107, 01.02.2017

Handan Öztekin Esra Metin

https://doi.org/10.1501/Commua1_0000000779

Abstract

In this study, we define the generalized Mannheim Curves in n-dimensional Euclidean Space and obtain the caracterizations of the generalized
Mannheim curve

Keywords

Mannheim curves, Euclidean space

References

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.

Year 2017, Volume: 66 Issue: 1, 98 - 107, 01.02.2017

Handan Öztekin Esra Metin

https://doi.org/10.1501/Commua1_0000000779

Abstract

References

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.

There are 13 citations in total.

Details

Primary Language	English
Journal Section	Research Articles
Authors	Handan Öztekin This is me Esra Metin This is me
Publication Date	February 1, 2017
Published in Issue	Year 2017 Volume: 66 Issue: 1

Cite

APA	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
AMA	Öztekin H, Metin E. MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2017;66(1):98-107. doi:10.1501/Commua1_0000000779
Chicago	Öztekin, Handan, and Esra Metin. “MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66, no. 1 (February 2017): 98-107. https://doi.org/10.1501/Commua1_0000000779.
EndNote	Öztekin H, Metin E (February 1, 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 and E. Metin, “MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 1, pp. 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 (February 2017), 98-107. https://doi.org/10.1501/Commua1_0000000779.
JAMA	Öztekin H, Metin E. MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:98–107.
MLA	Öztekin, Handan and Esra Metin. “MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 1, 2017, pp. 98-107, doi:10.1501/Commua1_0000000779.
Vancouver	Öztekin H, Metin E. MANNHEIM CURVES INn–DIMENSIONAL EUCLIDEAN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(1):98-107.