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On surfaces with common pseudo null geodesic in Minkowski 3-space

Year 2017, Volume: 66 Issue: 1, 229 - 241, 01.02.2017

Ufuk Özturk

https://doi.org/10.1501/Commua1_0000000792
https://izlik.org/JA96YD76MA

Abstract

The problem of constructing a family of parametric surfaces froma given pseudo null curve using the Frenet trihedron frame of the curve in theMinkowski 3-space is studied. The necessary and succient conditions for thegiven pseudo null curve to be a common geodesic of the parametric surface are derived. As a member of the family, considered a ruled surface with a pseudonull directrix, and some corollaries on the ruled surface are given. Also, some examples are given to show the family of surfaces with a common pseudo nullgeodesic

Keywords

Pseudo null curve Geodesic curve Parametric surface Minkowski3-space

Year 2017, Volume: 66 Issue: 1, 229 - 241, 01.02.2017

Ufuk Özturk

https://doi.org/10.1501/Commua1_0000000792
https://izlik.org/JA96YD76MA

Abstract

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Primary Language English
Authors

Ufuk Özturk This is me

Publication Date February 1, 2017
DOI https://doi.org/10.1501/Commua1_0000000792
IZ https://izlik.org/JA96YD76MA
Published in Issue Year 2017 Volume: 66 Issue: 1

Cite

APA Özturk, U. (2017). On surfaces with common pseudo null geodesic in Minkowski 3-space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(1), 229-241. https://doi.org/10.1501/Commua1_0000000792
AMA 1.Özturk U. On surfaces with common pseudo null geodesic in Minkowski 3-space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(1):229-241. doi:10.1501/Commua1_0000000792
Chicago Özturk, Ufuk. 2017. “On Surfaces With Common Pseudo Null Geodesic in Minkowski 3-Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 (1): 229-41. https://doi.org/10.1501/Commua1_0000000792.
EndNote Özturk U (February 1, 2017) On surfaces with common pseudo null geodesic in Minkowski 3-space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 1 229–241.
IEEE [1]U. Özturk, “On surfaces with common pseudo null geodesic in Minkowski 3-space”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 1, pp. 229–241, Feb. 2017, doi: 10.1501/Commua1_0000000792.
ISNAD Özturk, Ufuk. “On Surfaces With Common Pseudo Null Geodesic in Minkowski 3-Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/1 (February 1, 2017): 229-241. https://doi.org/10.1501/Commua1_0000000792.
JAMA 1.Özturk U. On surfaces with common pseudo null geodesic in Minkowski 3-space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:229–241.
MLA Özturk, Ufuk. “On Surfaces With Common Pseudo Null Geodesic in Minkowski 3-Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 1, Feb. 2017, pp. 229-41, doi:10.1501/Commua1_0000000792.
Vancouver 1.Ufuk Özturk. On surfaces with common pseudo null geodesic in Minkowski 3-space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017 Feb. 1;66(1):229-41. doi:10.1501/Commua1_0000000792

Cited By

Revisiting surfaces with a common null geodesic curve in Minkowski 3-space 𝔼13
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https://doi.org/10.1142/S1793557123501115

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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