# Prolongation of second order connections to vertical Weil bundles

Archivum Mathematicum (2001)

- Volume: 037, Issue: 4, page 333-347
- ISSN: 0044-8753

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topCabras, Antonella, and Kolář, Ivan. "Prolongation of second order connections to vertical Weil bundles." Archivum Mathematicum 037.4 (2001): 333-347. <http://eudml.org/doc/248758>.

@article{Cabras2001,

abstract = {We study systematically the prolongation of second order connections in the sense of C. Ehresmann from a fibered manifold into its vertical bundle determined by a Weil algebra $A$. In certain situations we deduce new properties of the prolongation of first order connections. Our original tool is a general concept of a $B$-field for another Weil algebra $B$ and of its $A$-prolongation.},

author = {Cabras, Antonella, Kolář, Ivan},

journal = {Archivum Mathematicum},

keywords = {non-holonomic jet; Weil bundle; Weil field; second order connection; prolongation of connections; non-holonomic jet; Weil bundle; second order connection; prolongation of connection},

language = {eng},

number = {4},

pages = {333-347},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Prolongation of second order connections to vertical Weil bundles},

url = {http://eudml.org/doc/248758},

volume = {037},

year = {2001},

}

TY - JOUR

AU - Cabras, Antonella

AU - Kolář, Ivan

TI - Prolongation of second order connections to vertical Weil bundles

JO - Archivum Mathematicum

PY - 2001

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 037

IS - 4

SP - 333

EP - 347

AB - We study systematically the prolongation of second order connections in the sense of C. Ehresmann from a fibered manifold into its vertical bundle determined by a Weil algebra $A$. In certain situations we deduce new properties of the prolongation of first order connections. Our original tool is a general concept of a $B$-field for another Weil algebra $B$ and of its $A$-prolongation.

LA - eng

KW - non-holonomic jet; Weil bundle; Weil field; second order connection; prolongation of connections; non-holonomic jet; Weil bundle; second order connection; prolongation of connection

UR - http://eudml.org/doc/248758

ER -

## References

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