Results 1 to 10 of about 6,701 (98)
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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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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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, Michal A D
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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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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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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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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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Induced connections of two types on a surface of an affine space
Дифференциальная геометрия многообразий фигур, 2019 In the affine space the fundamental-group connection in the bundle associated with a surface as a manifold of tangent planes is investigated. The principal bundle contains a quotient bundle of tangent frames, the typical fiber of which is a linear group ...
A. Shults
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