On a family of connections in Finsler geometry

• Autores: Abdelhamid Tayebi Tayebi , Esmaeil Azizpour, Ebrahim Esrafilian
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 72, Fasc. 1-2, 2008, págs. 1-16
• Idioma: inglés
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• Resumen

  • 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.