The book ‘‘Handbook of Finsler geometry’’ has been included with a CD containing an elegant Maple
package, FINSLER, for calculations in Finsler geometry. Using this package, an example concerning a
Finsler generalization of Einstein’s vacuum field equations was treated. In this example, the calculation
of the components of the hv-curvature of Cartan connection leads to wrong expressions. On the other
hand, the FINSLER package works only in dimension four. We introduce a new Finsler package in which
we fix the two problems and solve them. Moreover, we extend this package to compute not only the
geometric objects associated with Cartan connection but also those associated with Berwald, Chern
and Hashiguchi connections in any dimension. These improvements have been illustrated by a concrete
example. Furthermore, the problemof simplifying tensor expressions is treated. This paper is intended to
make calculations in Finsler geometry more easier and simpler. |
