Copyright (c) 2013 Utah State University All rights reserved. http://digitalcommons.usu.edu/dg_pres Recent documents in Presentations and Publications en-us Sun, 27 Jan 2013 02:45:07 PST 3600 http://digitalcommons.usu.edu/dg_pres/1 http://digitalcommons.usu.edu/dg_pres/1 Tue, 19 Jun 2012 05:53:31 PDT DifferentialGeometry is a Maple software package which symbolically performs fun- damental operations of calculus on manifolds, differential geometry, tensor calculus, spinor calculus, Lie algebras, Lie groups, transformation groups, jet spaces, and the variational calculus. These capabilities, combined with dramatic recent improve- ments in symbolic approaches to solving algebraic and differential equations, have allowed for development of powerful new tools for solving research problems in gravitation and field theory. The purpose of this paper is to describe some of these new tools and present some advanced applications involving: Killing vector fields and isometry groups, Killing tensors, algebraic classification of solutions of the Einstein equations, and symmetry reduction of field equations.

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