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Resumen de On a family of connections in Finsler geometry

Abdelhamid Tayebi Tayebi Árbol académico, Esmaeil Azizpour, Ebrahim Esrafilian

  • In this paper, we introduce a new family of linear torsion-free connections for Finsler metrics. This family of connections de¯nes a Riemannian curvature tensor R and a non-Riemannian quantity P. We show that P contains all the non-Riemannian information, namely, P = 0 if and only if the Finsler metric is Riemannian. In fact, this family of connections makes a systematical analysis of connections that characterize Riemannian metrics.

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