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RAHULA, M. VAŠÍK, P.
Original Title
A note on jet and geometric approach to higher order connections
Type
conference paper
Language
English
Original Abstract
We compare two ways of interpreting higher order connections. The geometric approach lies in the decomposition of higher order tangent space into the horizontal and vertical structures while the jet-like approach considers a higher order connection as the section of a jet prolongation of a fibered manifold. Particularly, we use the Ehresmann prolongation of a general connection and study the result from the point of view of geometric theory. We pay attention to linear connections, too.
Keywords
Jet, linear connection, Ehresmann prolongation
Authors
RAHULA, M.; VAŠÍK, P.
RIV year
2014
Released
1. 4. 2014
Publisher
Springer - Verlag
Location
Germany
ISBN
978-3-642-55360-8
Book
Algebra, Geometry and Mathematical Physics
Edition
Springer Proceedings in Mathematics and Statistics
Edition number
85
NEUVEDENO
Pages from
375
Pages to
385
Pages count
11
BibTex
@inproceedings{BUT106953, author="Maido {Rahula} and Petr {Vašík}", title="A note on jet and geometric approach to higher order connections", booktitle="Algebra, Geometry and Mathematical Physics", year="2014", series="Springer Proceedings in Mathematics and Statistics", number="85", pages="375--385", publisher="Springer - Verlag", address="Germany", doi="10.1007/978-3-642-55361-5\{_}24", isbn="978-3-642-55360-8" }