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[Licence| Download | New Version Template] aere_v1_0.tar.gz(227 Kbytes)
Manuscript Title: Some notes on the FINSLER package
Authors: Nabil L. Youssef, S.G. Elgendi
Program title: Finsler
Catalogue identifier: AERE_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 185(2014)986
Programming language: Maple 12 or higher.
Computer: Any computer where the Maple program can be installed.
Operating system: Any system running Maple.
RAM: The computer should possess sufficient RAM comparable with the complexity of the performed computations; it is preferable to have 2 GB or more.
Keywords: Maple program, FINSLER package, Computer algebra, Finsler space, Fundamental Finsler connections, Tensor simplification.
Classification: 1.5, 1.9, 4.12.

Nature of problem:
The FINSLER package [2] (included with [1]) has some problems: the wrong calculations of the hv-curvature components of Cartan connection and the non-ability of computing some curvature tensors in dimensions different from four. Moreover, it computes some geometric objects in a non-simplified form.

Solution method:
In the new package, the above mentioned problems have been solved. The FINSLER package has been extended to be able to compute the geometric objects associated with Berwald, Chern and Hashiguchi connections (besides those associated with Cartan connection) in any dimension. A technique for tensor simplification has been introduced.

Additional comments:
Other new tensors or geometric objects not defined in the package can be added in a similar manner.

Running time:
The examples provided take only a few seconds to run.

References:
[1] P.L. Antonelli (Ed.), Handbook of Finsler geometry I, II, Kluwer Acad. publ., 2003.
[2] S.F. Rutz and R. Portugal, FINSLER: A computer algebra package for Finsler geometries, Nonlinear Analysis, 47 (2001) 6121-6134.