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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

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Behaviour of the Cartan Maurer form

Let there be a Lie-group $G$ and its Lie-algebra $g$. Then the Cartan Maurer form is an 1-form $\omega: T_gG \rightarrow T_eG$ for which holds: $$ (L^\ast_g)\omega = \omega$$ In Shlomo Sternberg's boo …