Linear and affine connections - Open Access .click

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On the tangent bundle and on the bundle of the linear frames over an affinely connected manifold

1988
Let M be a connected manifold with a symmetric and complete connection \(\nabla\). Here the authors study the manifolds T(M) and L(M) with respect to the complete lifts of \(\nabla\), giving also some relations between the complete and the vertical lifts of several geometric objects to L(M) and to T(M).
FALCITELLI, Maria, PASTORE, Anna Maria
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On the structure of an affine connection object and the torsion tensor in the bundle of linear frames

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2023
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Colesanti type inequalities for affine connections

Analysis and Mathematical Physics, 2023
Guangyue Huang, Bingqing Ma
exaly

Spaces of linear elements with a truncated affine connection that have groups of motions of maximum order

Mathematical Notes of the Academy of Sciences of the USSR, 1980
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Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m-Ricci-Symmetric Spaces

Mathematics, 2021
Volodymyr Berezovski +2 more
exaly

Generalized Affine Connections Associated with the Space of Centered Planes

Mathematics, 2021
Olga Olegovna Belova
exaly

Liouville Theorem for Non-Linear Elliptic Equation for Affine Connections

Guangyue Huang, Jingxu Liu, Hongru Song
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