Results 11 to 20 of about 7,336 (96)
Affine Dependence of Network Observability/Controllability on Its Subsystem Parameters and Connections [PDF]
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019 This article investigates observability/controllability of a networked dynamic system (NDS) in which system matrices of its subsystems are expressed through linear fractional transformations (LFTs).
T. Zhou, Yu-yuan Zhou
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First integrals of affine connections and Hamiltonian systems of hydrodynamic type [PDF]
, 2015 We find necessary and sufficient conditions for a local geodesic flow of an affine connection on a surface to admit a linear first integral. The conditions are expressed in terms of two scalar invariants of differential orders 3 and 4 in the connection ...
Felipe Contatto, M. Dunajski
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On a Metric Affine Manifold with Several Orthogonal Complementary Distributions
Mathematics, 2021 A Riemannian manifold endowed with k>2 orthogonal complementary distributions (called here an almost multi-product structure) appears in such topics as multiply twisted or warped products and the webs or nets composed of orthogonal foliations.
V. Rovenski, S. Stepanov
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On Limit Sets for Geodesics of Meromorphic Connections [PDF]
Journal of dynamical and control systems, 2020 Meromorphic connections on Riemann surfaces originate and are closely related to the classical theory of linear ordinary differential equations with meromorphic coefficients.
Dmitry Novikov +2 more
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Induced connections of two types on a surface of an affine space
Differential Geometry of Manifolds of Figures, 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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The Mixed Scalar Curvature of Almost-Product Metric-Affine Manifolds, II
Results in Mathematics, 2021 We continue our study of the mixed Einstein–Hilbert action as a functional of a pseudo-Riemannian metric and a linear connection. Its geometrical part is the total mixed scalar curvature on a smooth manifold endowed with a distribution or a foliation. We
V. Rovenski, Tomasz Zawadzki
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About the torsion tensor of an affine connection on two-dimensional and three-dimensional manifolds
Differential Geometry of Manifolds of Figures, 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. Polyakova
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Symmetries of the Space of Linear Symplectic Connections [PDF]
, 2016 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.
Daniel J. F. Fox
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Hermitian-Einstein connections on principal bundles over flat affine manifolds [PDF]
, 2011 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 ...
I. Biswas, John C. Loftin
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Differential Geometry of Manifolds of FiguresThe theory of motions in generalized spaces is one of the directions in modern differential geometry. Such scientists as E. Cartan, P. K. Rashevsky, P. A. Shirokov, I. P. Egorov, A.Ya. Sultanov and other scientists were engaged in the study of movements
M. V. Glebova, A. Sultanov
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