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Symbolic computations in differential geometry

Published 20 Apr 2008 in math.DG and cs.SC | (0804.3193v1)

Abstract: We introduce the C++ library Wedge, based on GiNaC, for symbolic computations in differential geometry. We show how Wedge makes it possible to use the language C++ to perform such computations, and illustrate some advantages of this approach with explicit examples. In particular, we describe a short program to determine whether a given linear exterior differential system is involutive.

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