Geodesics in (R^n,d_1)

25535

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 (R^n,d_1) will be characterized. Furthermore, some examples will be presented to demonstrate the effectiveness of the main result.

388

Metric space , Path , Geodesic , Quadrant

Journal Of Natural an‎d Applied Sciences

390

Journal Of Natural an‎d Applied Sciences