osculating spheres and osculating circles of a CURVE in SEMI-RİEMANNIAN SPACE

E. Soytürk

doi:10.1501/Commua1_0000000330

EN

osculating spheres and osculating circles of a CURVE in SEMI-RİEMANNIAN SPACE

Abstract

Ilı the Euclidean 3-space, t,here is a uııigue sphere for a curve o : / —» R^ such that the sphere touchc.s a at. the third order at ct(0). The iııtersectioıı of the splıere with oseulatiııg plaııe is a eircle which touches a at the secoud order at a(0) [5j. In this paper, the osculating sphere and the osculating circle of the curve are studied for each of timelike, spacelike and null (Ughtlike) curves in Semi-Riemannian Spaces; Rj, R| and R^.

Keywords

References

Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

E. Soytürk This is me
Türkiye

Publication Date

January 1, 2005

Submission Date

January 1, 2005

Acceptance Date

-

Published in Issue

Year 2005 Volume: 54 Number: 02

DOI

https://doi.org/10.1501/Commua1_0000000330

IZ

https://izlik.org/JA93XP37SE

Cite

RIS / Bibtex

APA

Soytürk, E. (2005). osculating spheres and osculating circles of a CURVE in SEMI-RİEMANNIAN SPACE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 54(02). https://doi.org/10.1501/Commua1_0000000330

AMA

1.Soytürk E. osculating spheres and osculating circles of a CURVE in SEMI-RİEMANNIAN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2005;54(02). doi:10.1501/Commua1_0000000330

Chicago

Soytürk, E. 2005. “Osculating Spheres and Osculating Circles of a CURVE in SEMI-RİEMANNIAN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 54 (02). https://doi.org/10.1501/Commua1_0000000330.

EndNote

Soytürk E (January 1, 2005) osculating spheres and osculating circles of a CURVE in SEMI-RİEMANNIAN SPACE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 54 02

IEEE

[1]E. Soytürk, “osculating spheres and osculating circles of a CURVE in SEMI-RİEMANNIAN SPACE”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 54, no. 02, Jan. 2005, doi: 10.1501/Commua1_0000000330.

ISNAD

Soytürk, E. “Osculating Spheres and Osculating Circles of a CURVE in SEMI-RİEMANNIAN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 54/02 (January 1, 2005). https://doi.org/10.1501/Commua1_0000000330.

JAMA

1.Soytürk E. osculating spheres and osculating circles of a CURVE in SEMI-RİEMANNIAN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2005;54. doi:10.1501/Commua1_0000000330.

MLA

Soytürk, E. “Osculating Spheres and Osculating Circles of a CURVE in SEMI-RİEMANNIAN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 54, no. 02, Jan. 2005, doi:10.1501/Commua1_0000000330.

Vancouver

1.E. Soytürk. osculating spheres and osculating circles of a CURVE in SEMI-RİEMANNIAN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2005 Jan. 1;54(02). doi:10.1501/Commua1_0000000330