Linear transports along paths in vector bundles. IV. Consistency with bundle metrics

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dc.creatorIliev, Bozhidar Z.
dc.date2005-05-01
dc.date.accessioned2026-07-07T05:19:33Z
dc.date.available2026-07-07T05:19:33Z
dc.descriptionThe problem for consistency between linear transports along paths and real bundle metrics in real vector bundles is stated. Necessary and/or sufficient conditions, as well as conditions for existence, for such consistency are derived. All metrics (resp. transports) consistent with a given transport (resp. metric) are explicitly obtained. The special case of linear transports, generated by derivations of tensor algebras, of vectors is considered. Analogous problems are investigated in complex vector bundles endowed with Hermitian metrics.
dc.description20 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/
dc.identifierhttps://arxiv.org/abs/math/0505008
dc.identifierhttp://arxiv.org/abs/math/0505008
dc.identifierCommunication JINR, E5-94-17, Dubna, 1994
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75057
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C99 (Primary) 53B99, 57R35 (Secondary)
dc.titleLinear transports along paths in vector bundles. IV. Consistency with bundle metrics
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