General covariant derivatives for general connections

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Authors

JANYŠKA Josef

Year of publication 2011
Type Article in Periodical
Magazine / Source Differential Geometry and its Applications
MU Faculty or unit

Faculty of Science

Citation
Web http://www.elsevier.com/wps/find/journaldescription.cws_home/505630/description#description
Doi http://dx.doi.org/10.1016/j.difgeo.2011.04.016
Field General mathematics
Keywords General connection; classical connection; natural bundle; natural operator; covariant derivative; general covariant derivative
Attached files
Description In this paper we introduce the general covariant derivatives of vertical-valued tensor fields with respect to a general connection on a fibered manifold and a classical connection on the base. We prove that the general covariant derivatives satisfy the general Ricci and the general Bianchi identities.
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