FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 2, PAGES 67-77

The type of minimal branching geodesics defines the norm in a normed space

I. L. Laut
Z. N. Ovsyannikov

Abstract

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In this paper, we investigate the inverse problem to the minimal branching geodesic searching problem in a normed space. Let us consider a normed space. Then the form of the minimal branching geodesic is determined. We must find all possible normed spaces with the same form of the minimal branching geodesics as the one in the considered normed space. The case of Euclidean norms is analyzed in detail.

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