arXiv:math/0505008 Abstract

arXiv:math/0505008 [math.DG]Abstract References Reviews Resources

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

Published 2005-05-01Version 1

The 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.

Comments: 20 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/

Journal: Communication JINR, E5-94-17, Dubna, 1994

Categories: math.DG, math-ph, math.MP

Subjects: 53C99, 53B99, 57R35

Keywords: linear transports, consistency, real bundle metrics, real vector bundles, complex vector bundles

Tags: journal article

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