%0 Journal Article %A Torre, Charles %A ANDERSON, IAN %D 2018 %T Symbolic Toolboxes For Differential Geometry and Mathematical Physics %U https://figshare.com/articles/journal_contribution/Symbolic_Toolboxes_For_Differential_Geometry_and_Mathematical_Physics/6169517 %R 10.6084/m9.figshare.6169517.v1 %2 https://ndownloader.figshare.com/files/11159669 %K NSF-SI2-2018 %K Differential Geometry %K Lie Theory %K General Relativity %K Field Theory %K Symbolic Computation %K Computer Algebra %K Algebraic and Differential Geometry %K Calculus of Variations, Systems Theory and Control Theory %K Geometry %K Group Theory and Generalisations %K Integrable Systems (Classical and Quantum) %K Lie Groups, Harmonic and Fourier Analysis %K Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory %K Mathematical Aspects of General Relativity %K Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory %K Field Theory and String Theory %K General Relativity %K Mechanics %X
The DifferentialGeometry (DG) software provides advanced mathematical functionalities for research and teaching in the areas of differential geometry, Lie theory, general relativity, and geometric methods for differential equations.

The current project will provide additional infrastructure for symbolic computing in differential geometry and its applications; meet specific user community demands; and
explore new areas where symbolic methods have heretofore been unused.

Toolboxes and libraries in the areas of differential geometry, general relativity, exterior differential systems, integrable systems and Lie theory are being created.
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