Abstract:
In this work, we consider the dual geometry of a normalized space of affine connection $\mathrm A_{n,n}$. In particular, we study the dual spaces of an affine-metric connection $\overset{p}{\mathrm M}_{n,n}$, which are induced by a nondegenerate normalization of a space of affine-metric connection $\mathrm M_{n,n}$.
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