Geodesics in (<em>R<sup>n</sup></em>, <em>d</em><sub>1</sub>)

Volume: 20 Number: 3 September 7, 2016
Süleyman Demirel University Journal of Natural and Applied Sciences Cover
Süleyman Demirel University Journal of Natural and Applied Sciences
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Geodesics in (<em>R<sup>n</sup></em>, <em>d</em><sub>1</sub>)

Abstract

The notion of geodesic, which may be regarded as an extension of the line segment in Euclidean geometry to the space we study in, has an important place in many branches of geometry, such as Riemannian geometry, Metric geometry, to name but a few. In this article, the concept of geodesic in a metric space will be introduced, then geodesics in the space (Rn, d1) will be characterized. Furthermore, some examples will be presented to demonstrate the effectiveness of the main result.

Keywords

References

  1. [1] Papadopoulos, A. 2005. Metric Spaces, Convexity and Nonpositive Curvature. Irma Lectures in Mathematics and Theoretical Physics, European Mathematical Society, Germany.
  2. [2] Bridson, M.R. Haefliger, A. 1999. Metric Spaces of Non-Positive Curvature. Grundlehren der mathematischen Wissenschaften, Springer-Verlag, Berlin.
  3. [3] Burago, D. Burago, Y. Ivanov, S. 2001. A Course in Metric Geometry, Graduate Studies in Mathematics. American Mathematical Society, USA.
  4. [4] Kılıç, M. 2015. Intrinsic Metric Spaces, Anadolu University, Science Institution, PhD Thesis, Eskisehir/Turkey.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Publication Date

September 7, 2016

Submission Date

March 4, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 20 Number: 3

DOI

https://doi.org/10.19113/sdufbed.65502

IZ

https://izlik.org/JA95EW94FC

Cite

RIS / Bibtex
APA
Kılıç, M. (2016). Geodesics in (<em>R<sup>n</sup></em>, <em>d</em><sub>1</sub>). Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20(3), 388-390. https://doi.org/10.19113/sdufbed.65502
AMA
1.Kılıç M. Geodesics in (<em>R<sup>n</sup></em>, <em>d</em><sub>1</sub>). J. Nat. Appl. Sci. 2016;20(3):388-390. doi:10.19113/sdufbed.65502
Chicago
Kılıç, Mehmet. 2016. “Geodesics in (<em>R<sup>n< Sup>< Em>, <em>d< Em><sub>1< Sub>)”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 (3): 388-90. https://doi.org/10.19113/sdufbed.65502.
EndNote
Kılıç M (December 1, 2016) Geodesics in (<em>R<sup>n</sup></em>, <em>d</em><sub>1</sub>). Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 3 388–390.
IEEE
[1]M. Kılıç, “Geodesics in (<em>R<sup>n</sup></em>, <em>d</em><sub>1</sub>)”, J. Nat. Appl. Sci., vol. 20, no. 3, pp. 388–390, Dec. 2016, doi: 10.19113/sdufbed.65502.
ISNAD
Kılıç, Mehmet. “Geodesics in (<em>R<sup>n< Sup>< Em>, <em>d< Em><sub>1< Sub>)”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20/3 (December 1, 2016): 388-390. https://doi.org/10.19113/sdufbed.65502.
JAMA
1.Kılıç M. Geodesics in (<em>R<sup>n</sup></em>, <em>d</em><sub>1</sub>). J. Nat. Appl. Sci. 2016;20:388–390.
MLA
Kılıç, Mehmet. “Geodesics in (<em>R<sup>n< Sup>< Em>, <em>d< Em><sub>1< Sub>)”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 20, no. 3, Dec. 2016, pp. 388-90, doi:10.19113/sdufbed.65502.
Vancouver
1.Mehmet Kılıç. Geodesics in (<em>R<sup>n</sup></em>, <em>d</em><sub>1</sub>). J. Nat. Appl. Sci. 2016 Dec. 1;20(3):388-90. doi:10.19113/sdufbed.65502

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