Mehmet KILIÇ

Geodesics in (Rⁿ, d₁)

ISSN: 1300-7688
Yayın Aralığı: 3
Başlangıç: 1995
Yayıncı: Süleyman Demirel Üniversitesi

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.

Anahtar Kelimeler:

Metric space, Path; Geodesic; Quadrant

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