The Riegeom package: abstract tensor calculation

Abstract This paper describes a new package for abstract tensor calculation. Riegeom can efficiently simplify generic tensor expressions written in the indicial format. It addresses the problem of the cyclic symmetry and the dimension dependent relations of Riemann tensor polynomials. There are tools to manipulate tensors such as substitution and symmetrization functions. The main tensors of the Riemannian geometry have been implemented. The underlying algorithms are based on a precise mathematical fo... Title of program: Riegeom Catalogue Id: ADLM_v1_0 Nature of problem Simplification of tensor expressions and tensor manipulation in the indicial format. Useful for calculations in General Relativity and Riemannian Geometry. Versions of this program held in the CPC repository in Mendeley Data ADLM_v1_0; Riegeom; 10.1016/S0010-4655(99)00480-4 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)