Results 11 to 20 of about 8,035 (253)
Linear and projective connections over a smooth manifold
Дифференциальная геометрия многообразий фигур, 2023 The principal bundles of the first order coframes and the second order coframes, as well as factor bundle of centroprojective (coaffine) coframes are considered.
Yu. I. Shevchenko, A. V. Vyalova
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Linear transformations on affine-connections [PDF]
Classical and Quantum Gravity, 2020 Abstract We state and prove a simple theorem that allows one to generate invariant quantities in metric-affine geometry, under a given transformation of the affine connection. We start by a general functional of the metric and the connection and consider transformations of the affine connection possessing a certain symmetry.
Damianos Iosifidis
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Дифференциальная геометрия многообразий фигур, 2021 The theory of tangent bundles over a differentiable manifold M belongs to the geometry and topology of manifolds and is an intensively developing area of the theory of fiber spaces. The foundations of the theory of fibered spaces were laid in the works
A. Ya. Sultanov +2 more
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Affine connections in quantum gravity and new scalar fields [PDF]
Physics of the Dark Universe, 2019 International audienceIn this manuscript, we will discuss the construction of covariant derivative operator inquantum gravity. We will find it is more perceptive alternative to use affine connections more general than metric compatible connections in ...
Kaushik Ghosh
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Geometries involving affine connections and general linear connections [PDF]
Annali Di Matematica Pura Ed Applicata, 1934 This paper deals with a general linear connection in the sense of R. König, in which a space of \(m\) dimensions is attached to each point of a general manifold of \(n\) dimensions. In such a general manifold of \(n\) dimensions are assumed a symmetric linear connection \(\Gamma_{jk}^i\), and a general linear connection \(L_{\beta a}^\alpha\), both ...
A D Michal, J L Botsford, Michal A D
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Linearization of nonlinear connections on vector and affine bundles, and some applications [PDF]
Journal of Physics A: Mathematical and Theoretical, 2018 A linear connection is associated to a nonlinear connection on a vector bundle by a linearization procedure. Our definition is intrinsic in terms of vector fields on the bundle. For a connection on an affine bundle our procedure can be applied after homogenization and restriction. Several applications in Classical Mechanics are provided.
Eduardo Martínez, Martinez, E.
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Monatshefte Fur Mathematik, 1988 We apply concepts and methods due to \textit{D. Krupka} [Arch. Math., Brno 14, 207-214 (1978; Zbl 0428.58002)] to find all second order natural transformations of symmetric affine connections on manifolds into metrics on linear frame bundles. The complete family of naturally resulting metrics (to a fixed symmetric affine connection) is a real vector ...
Masami Sekizawa
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The Ternary Structure of Lie Algebroid Connections [PDF]
Symmetry, 2023 We examine the heap of linear connections on anchored vector bundles and Lie algebroids. Naturally, this covers the example of affine connections on a manifold.
Andrew James Bruce, Bruce, Andrew James
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Mathematics, 2021 In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2-Ricci-symmetric spaces, generalized 3-Ricci-symmetric spaces, and generalized m-Ricci-symmetric spaces.
Volodymyr Berezovski +3 more
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Mathematics, 2021 In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2-Ricci-symmetric spaces, generalized 3-Ricci-symmetric spaces, and generalized m-Ricci-symmetric spaces.
Volodymyr Berezovski +2 more
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