Geodesic
Geometry of dual spaces of affine-metric connection
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 1, pp. 39-45.

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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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T. G. Alenina. Geometry of dual spaces of affine-metric connection. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 1, pp. 39-45. http://geodesic.mathdoc.fr/item/FPM_2010_16_1_a2/

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