Symbolic Toolboxes For Differential Geometry and Mathematical Physics

<div>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. </div><div><br></div><div>The current project will provide additional infrastructure for symbolic computing in differential geometry and its applications; meet specific user community demands; and <br></div><div>explore new areas where symbolic methods have heretofore been unused.</div><div><br></div><div>Toolboxes and libraries in the areas of differential geometry, general relativity, exterior differential systems, integrable systems and Lie theory are being created.