JANYŠKA, Josef. General covariant derivatives for general connections. Differential Geometry and its Applications. Elsevier, 2011, vol. 29, S1, p. "S116"-"S124", 9 pp. ISSN 0926-2245. doi:10.1016/j.difgeo.2011.04.016. |
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@article{936442, author = {Janyška, Josef}, article_number = {S1}, doi = {http://dx.doi.org/10.1016/j.difgeo.2011.04.016}, keywords = {General connection; classical connection; natural bundle; natural operator; covariant derivative; general covariant derivative}, language = {eng}, issn = {0926-2245}, journal = {Differential Geometry and its Applications}, title = {General covariant derivatives for general connections}, url = {http://www.elsevier.com/wps/find/journaldescription.cws_home/505630/description#description}, volume = {29}, year = {2011} }
TY - JOUR ID - 936442 AU - Janyška, Josef PY - 2011 TI - General covariant derivatives for general connections JF - Differential Geometry and its Applications VL - 29 IS - S1 SP - "S116"-"S124" EP - "S116"-"S124" PB - Elsevier SN - 09262245 KW - General connection KW - classical connection KW - natural bundle KW - natural operator KW - covariant derivative KW - general covariant derivative UR - http://www.elsevier.com/wps/find/journaldescription.cws_home/505630/description#description N2 - 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. ER -
JANYŠKA, Josef. General covariant derivatives for general connections. \textit{Differential Geometry and its Applications}. Elsevier, 2011, vol.~29, S1, p.~''S116''-''S124'', 9 pp. ISSN~0926-2245. doi:10.1016/j.difgeo.2011.04.016.
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