Results 21 to 30 of about 8,035 (253)
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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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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Cryptography and Communications, 2020 In this paper a new variant of the linear cryptanalysis method for block ciphers is proposed. It is based on the existing method of multidimensional linear cryptanalysis, but offers the option of discarding a whole half-space of linear approximations ...
Nyberg, Kaisa
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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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Errors Dynamics in Affine Group Systems [PDF]
arXiv.org, 2023 Errors dynamics captures the evolution of the state errors between two distinct trajectories, that are governed by the same system rule but initiated or perturbed differently.
Li, Xinghan +4 more
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Decomposition of the connection in affine models of gravity
European Physical Journal C: Particles and FieldsIn physics geometrical connections are the mean to create models with local symmetries (gauge connections), as well as general diffeomorphisms invariance (affine connections).
Oscar Castillo-Felisola +3 more
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Symmetries of the Space of Linear Symplectic Connections [PDF]
, 2017 There is constructed a family of Lie algebras that act in a Hamiltonian way on the symplectic affine space of linear symplectic connections on a symplectic manifold.
Fox, D.J.F.
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The natural operators lifting connections to higher order cotangent bundles [PDF]
, 2014 summary:We prove that the problem of finding all ${\mathcal {M} f_m}$-natural operators ${C\colon Q\rightsquigarrow QT^{r*}}$ lifting classical linear connections $\nabla $ on $m$-manifolds $M$ into classical linear connections $C_M(\nabla )$ on the $r ...
Mikulski, Włodzimierz M. +1 more
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HERMITIAN–EINSTEIN CONNECTIONS ON PRINCIPAL BUNDLES OVER FLAT AFFINE MANIFOLDS [PDF]
, 2012 Let M be a compact connected special flat affine manifold without boundary equipped with a Gauduchon metric g and a covariant constant volume form. Let G be either a connected reductive complex linear algebraic group or the real locus of a split real ...
INDRANIL BISWAS, JOHN LOFTIN
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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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