Results 1 to 10 of about 54,935 (211)
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.
Byrnes G B +15 more
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HR-NeRF: advancing realism and accuracy in highlight scene representation [PDF]
Frontiers in NeuroroboticsNeRF and its variants excel in novel view synthesis but struggle with scenes featuring specular highlights. To address this limitation, we introduce the Highlight Recovery Network (HRNet), a new architecture that enhances NeRF's ability to capture ...
Shufan Dai, Shanqin Wang
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Geodesic Mappings onto Generalized m-Ricci-Symmetric Spaces
Mathematics, 2022 In this paper, we study geodesic mappings of spaces with affine connections onto generalized 2-, 3-, and m-Ricci-symmetric spaces. In either case, the main equations for the mappings are obtained as a closed system of linear differential equations of the
Volodymyr Berezovski +3 more
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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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About the torsion tensor of an affine connection on two-dimensional and three-dimensional manifolds
Дифференциальная геометрия многообразий фигур, 2021 The basis for this study of affine connections in linear frame bundle over a smooth manifold is the structure equations of the bundle. An affine connection is given in this bundle by the Laptev — Lumiste method. The differential equations are written for
K.V. Polyakova
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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 ...
Michal, A. D., Botsford, J. L.
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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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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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Quantum field theory on affine bundles [PDF]
, 2013 We develop a general framework for the quantization of bosonic and fermionic field theories on affine bundles over arbitrary globally hyperbolic spacetimes. All concepts and results are formulated using the language of category theory, which allows us to
Benini, Marco +2 more
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Turán and Ramsey problems for alternating multilinear maps
Discrete Analysis, 2023 Turán and Ramsey problems for alternating multilinear maps, Discrete Analysis 2023:12, 22 pp. Ramsey's theorem (in its finite version) states that for every positive integer $k$ there exists a positive integer $n$ such that every graph with $n$ vertices
Youming Qiao
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