General covariant derivatives for general connections
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Periodical |
| Magazine / Source | Differential Geometry and its Applications |
| MU Faculty or unit | |
| 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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