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Summary  

The geodesic graph of Riemannian spaces all geodesics of which are orbits of 1-parameter isometry groups was constructed by J. Szenthe in 1976 and it became a basic tool for studying such spaces, called g.o.\ spaces. This infinitesimal structure corresponds to the reductive complement \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $\mathfrak m$ \end{document} in the case of naturally reductive spaces. The systematic study of Riemannian g.o. spaces was started by O. Kowalski and L.~Vanhecke in 1991, when they introduced the most important definitions, classified the low-dimensional examples and described the basic constructions of this theory. The aim of this paper is to investigate a connection theoretical analogue of the concept of the geodesic graph.

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. rész.) Acélszerkezetek. 2008/2. Magész. Budapest 38–45 Fernezelyi S.: Simplified method for design of bolted connections based on Eurocode 3. In: Proceedings of 5th European Conference on Steel and Composite Structures

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Pollack Periodica
Authors: Miklos Iványi, Miklos Iványi, and Peter Iványi

EN 1993-1.8 Design of steel structures , Part 1.8, Design of connections, (in Hungarian), 2005, pp. 1–84. Iványi M. Ductility of steel structures: The model of interactive hinge

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. de l’Inst. Tech. du Batim et des Traveaux Public, No. 373, 1979, pp. 127–140. Stanton J. F., Hawkins N. M., Hicks T. R. PRESS Project 1.3: Connection classification and evaluation, PCI Journal , Vol. 36, No

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. Biquard, O., Fibrés de Higgs et connexions intégrables: le cas logarithmique (diviseur lisse), Annales scientifiques de l’ École Normale Supérieure , 30(4) (1997), 41–96. Biquard O

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. [4] Bujňák J. , Furtak K. Connection slip in composite elements under quasi-long-term actions , Pollack Periodica , Vol. 9 , No. 2 , 2014 , pp. 29 – 34

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EN 1993-1.8, Design of steel structures , Part 1.8, Connections, (in Hungarian), 2005. Iványi M. Ductility of steel structures, the model of interactive hinge, Pollack Periodica

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Abstract  

We prove that a diffeomorphism of a manifold with an Ehresmann connection is an automorphism of the Ehresmann connection, if and only if, it is a totally geodesic map (i.e., sends the geodesies, considered as parametrized curves, to geodesies) and preserves the strong torsion of the Ehresmann connection. This result generalizes and to some extent strengthens the classical theorem on the automorphisms of a D-manifold (manifold with covariant derivative).

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Combining several results on related (or conjugate) connections, defined on banachable fibre bundles, we set up a machinery, which permits to study various transformations of linear connections. Global and local methods are applied throughout. As an application, we get an extension of the classical affine transformations to the context of infinite-dimensional vector bundles. Another application shows that, realising the ordinary linear differential equations (in Banach spaces) as connections, we get the usual transformations of (equivalent) equations. Thus, some classical results on differential equations, such as the Theorem of Floquet, can have a “geometric” interpretation.

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, L. J. , Ulrich , D. ( 2003 ) Strong, reliable and precise synaptic connections between thalamic relay cells and neurones of the nucleus reticularis in juvenile rats . J. Physiol. 546 , 801 – 811 . 12

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