Riemann geometry without indices

Vladimir V. Fock; Pierre Goussard

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arXiv · 1810.00239

Riemann geometry without indices

Vladimir V. Fock·Pierre Goussard

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Abstract

We suggest an index-free formalism allowing to simplify many computations in Riemann geometry. The main ingredients are forms with values in a Clifford algebra and an action of the group $\mathfrak{sl}_2\times \mathfrak{sl}_2$ on such forms.

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Vladimir V. Fock, Pierre Goussard. 2018-09-29. Riemann geometry without indices. https://arxiv.org/abs/1810.00239

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