Abstract
We compare geometric calculus applied to Riemannian geometry with Cartan's exterior calculus method. The correspondence between the two methods is clearly established. The results obtained by a package written in an algebraic language and doing general manipulations on multivectors are compared. We see that the geometric calculus is as powerful as exterior calculus.
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Moussiaux, A., Tombal, P. Geometric calculus: A new computational tool for Riemannian geometry. Int J Theor Phys 27, 613–621 (1988). https://doi.org/10.1007/BF00668842
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DOI: https://doi.org/10.1007/BF00668842