Abstract
In this work, we consider the dual geometry of a normalized space of affine connection A n,n . In particular, we study the dual spaces of an affine-metric connection \({ {\mathop {\text{M}}\limits^p}_{n,n}} \), which are induced by a nondegenerate normalization of a space of affine-metric connection M n,n .
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 1, pp. 39–45, 2010.
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Alenina, T.G. Geometry of dual spaces of affine-metric connection. J Math Sci 177, 541–545 (2011). https://doi.org/10.1007/s10958-011-0478-4
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DOI: https://doi.org/10.1007/s10958-011-0478-4