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math.MG2026
On a special class of equidistant sets in the Euclidean space
Á. Nagy, M. Oláh, M. Stoika +1
An equidistant set in the Euclidean space consists of points having equal distances to both members of a given pair of sets, called focal sets. Since there is no effective formula…
math.DG2026
Natural parallel translation and connection associated to navigation data
Asma Mezrag, Zoltan Muzsnay, Csaba Vincze
In this paper, we consider the geometric setting of navigation data and introduce a natural parallel translation using the Riemannian parallelism. The geometry obtained in this way…