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

Year 2017, , 229 - 241, 01.02.2017

Ufuk Özturk

https://doi.org/10.1501/Commua1_0000000792
Cited By: 1

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, , 229 - 241, 01.02.2017

Ufuk Özturk

https://doi.org/10.1501/Commua1_0000000792
Cited By: 1

Abstract

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Details

Primary Language English
Journal Section Research Articles
Authors

Ufuk Özturk This is me

Publication Date February 1, 2017
Published in Issue Year 2017

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 Özturk U. On surfaces with common pseudo null geodesic in Minkowski 3-space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2017;66(1):229-241. doi:10.1501/Commua1_0000000792
Chicago 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, no. 1 (February 2017): 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 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, 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 2017), 229-241. https://doi.org/10.1501/Commua1_0000000792.
JAMA 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, 2017, pp. 229-41, doi:10.1501/Commua1_0000000792.
Vancouver 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):229-41.

Cited By

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

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

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