Normal frames for general connections on differentiable fibre bundles

dc.creatorIliev, Bozhidar Z.
dc.date2004-05-01
dc.date2004-05-31
dc.date.accessioned2026-07-07T06:24:12Z
dc.date.available2026-07-07T06:24:12Z
dc.descriptionThe theory of frames normal for general connections on differentiable bundles is developed. Links with the existing theory of frames normal for covariant derivative operators (linear connections) in vector bundles are revealed. The existence of bundle coordinates normal at a given point and/or along injective horizontal path is proved. A necessary and sufficient condition of existence of bundle coordinates normal along injective horizontal mappings is derived.
dc.description24 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. In version 2 some results are generalized and proved under weaker conditions. For other papers on the same topic view the "publication" pages at http://theo.inrne.bas.bg/~bozho/
dc.identifierhttps://arxiv.org/abs/math/0405004
dc.identifierhttp://arxiv.org/abs/math/0405004
dc.identifierJ.Geom.Phys. 56 (2006) 780-812
dc.identifierdoi:10.1016/j.geomphys.2005.04.018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96465
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subject57R25 (Primary) 53B05, 53C05, 55R99, 58A30 (Secondary)
dc.titleNormal frames for general connections on differentiable fibre bundles
dc.typetext

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