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

Ufuk Özturk

doi:10.1501/Commua1_0000000792

EN

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

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

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Ufuk Özturk This is me

Publication Date

February 1, 2017

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2017 Volume: 66 Number: 1

DOI

https://doi.org/10.1501/Commua1_0000000792

IZ

https://izlik.org/JA96YD76MA

Cite

RIS / Bibtex

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

Asian-European Journal of Mathematics

https://doi.org/10.1142/S1793557123501115