Linear Transports along Paths in Vector Bundles. I. General Theory

dc.creatorIliev, Bozhidar Z.
dc.date2004-11-01
dc.date.accessioned2026-07-07T05:13:51Z
dc.date.available2026-07-07T05:13:51Z
dc.descriptionThe (parallel) linear transports along paths in vector bundles are axiomatically described. Their general form and certain properties are found. It is shown that these transports are locally (i.e. along every fixed path) always Euclidean ones in a senses that there exist frames in which their matrices are unit. The investigated transports along paths are described in terms of their local coefficients, as well as in terms of derivations along paths.
dc.description14 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/
dc.identifierhttps://arxiv.org/abs/math/0411023
dc.identifierhttp://arxiv.org/abs/math/0411023
dc.identifierCommunication JINR, E5-93-239, Dubna, 1993
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73065
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subject53C99 (Primary) 53B99, 57R35 (Secondary)
dc.titleLinear Transports along Paths in Vector Bundles. I. General Theory
dc.typetext

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