The use of computer algebra in the field of differential geometry and its applications to geometric structures of partial differential equations is discussed. The differential geometric setting is shortly described; a number of programs are slightly touched, some examples given, and an application to the construction of supersymmetric extensions of the Korteweg-de Vries equation is demonstrated.
Gragert, P. K. H., & Kersten, P. H. M. (1997). Differential Geometric Computations and Computer Algebra. Mathematical and computer modelling, 25(25), 11-24. https://doi.org/10.1016/S0895-7177(97)00055-1