59 citations · 142 across the 17 of their papers we have counts for
5 papers · 1 filter
Some Rigidity Conditions on Berwald Structures
Ricardo Gallego Torromé
This thesis contains an introduction to the method of average in Finsler geometry. The method is applied to Berwald spaces, obtaining geodesic rigidity conditions. We prove that th…
On the Berwald-Landsberg problem
Ricardo Gallego Torrome
Given a Finsler space (M,F), one can define natural average Riemannian metrics on M by averaging on the indicatrix I_x the fundamental tensor g of the Finsler function . In this…
On the two dimensional Berwald-Landsberg problem
Ricardo Gallego Torrome
The Berwald-Landsberg problem is considered for two dimensional manifolds. We sketch the proof that there are not -regular -global pure Landsberg surfaces. The me…
There are no -Regular Pure -Global Landsberg Surfaces
Ricardo Gallego Torrome
We show that there are not pure regular y-global Landsberg surfaced. The proof is based on the averaged connection associated with the linear Chern's connection and…
On the generalization of theorems from Riemannian to Finsler Geometry I: Metric Theorems
Ricardo Gallego Torrome
A method to generalize results from Riemannian Geometry to Finsler geometry is presented. We use the method to generalize several results that involve only metric conditions. Betwe…