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@inproceedings{751914,
author = {Kolář, Ivan},
address = {Singapore},
booktitle = {Handbook of Global Analysis},
doi = {http://dx.doi.org/10.1016/B978-044452833-9.50013-9},
keywords = {Weil algebra; Weil bundle; jet space; connection; curvature;torsion},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Singapore},
isbn = {978-0-444-52833-9},
pages = {625-664},
publisher = {Elsevier},
title = {Weil bundles as generalized jet spaces},
url = {https://doi.org/10.1016/B978-044452833-9.50013-9},
year = {2008}
}
TY - JOUR
ID - 751914
AU - Kolář, Ivan
PY - 2008
TI - Weil bundles as generalized jet spaces
PB - Elsevier
CY - Singapore
SN - 9780444528339
KW - Weil algebra
KW - Weil bundle
KW - jet space
KW - connection
KW - curvature;torsion
UR - https://doi.org/10.1016/B978-044452833-9.50013-9
L2 - https://doi.org/10.1016/B978-044452833-9.50013-9
N2 - We generalize the concept of higher order velocity and we interpret a Weil bundle as the space of A-velocities for an arbitrary Weil algebra A. We deduce geometric results on Weilian prolongations of various geometric objects. We characterize every fiber product preserving bundle functor on fibered manifolds in a jet-like manner and discuss some applications.
ER -
KOLÁŘ, Ivan. Weil bundles as generalized jet spaces. In \textit{Handbook of Global Analysis}. Singapore: Elsevier, 2008, s.~625-664. ISBN~978-0-444-52833-9. Dostupné z: https://dx.doi.org/10.1016/B978-044452833-9.50013-9.
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