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)

摘要
本文介绍了一种用于抽象张量计算的全新软件包。Riegeom能够高效地简化以指标形式书写的通用张量表达式。该软件包针对黎曼张量多项式的循环对称性和维度相关性问题进行了处理。其中包含诸如代换和对称化函数等操作张量的工具。已实现了黎曼几何的主要张量。其底层算法基于精确的数学理论。

程序名称：Riegeom
目录编号：ADLM_v1_0

问题性质
指标形式下张量表达式的简化和张量操作。适用于广义相对论和黎曼几何的计算。

Mendeley数据中CPC存储库中保存的此程序的版本
ADLM_v1_0; Riegeom; 10.1016/S0010-4655(99)00480-4

此程序已从贝尔法斯特女王大学（1969-2019）持有的CPC程序库中导入。