| JANYŠKA, Josef. General covariant derivatives for general connections. Differential Geometry and its Applications. Elsevier, 2011, roč. 29, S1, s. "S116"-"S124", 9 s. ISSN 0926-2245. Dostupné z: https://dx.doi.org/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, roč.~29, S1, s.~''S116''-''S124'', 9 s. ISSN~0926-2245. Dostupné z: https://dx.doi.org/10.1016/j.difgeo.2011.04.016.
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