# Canonical vector valued 1-forms on higher order adapted frame bundles over category of fibered squares

Annales UMCS, Mathematica (2008)

- Volume: 62, Issue: 1, page 31-36
- ISSN: 2083-7402

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topAnna Bednarska. "Canonical vector valued 1-forms on higher order adapted frame bundles over category of fibered squares." Annales UMCS, Mathematica 62.1 (2008): 31-36. <http://eudml.org/doc/267556>.

@article{AnnaBednarska2008,

abstract = {Let Y be a fibered square of dimension (m1, m2, n1, n2). Let V be a finite dimensional vector space over. We describe all 21,m2,n1,n2 - canonical V -valued 1-form Θ TPrA (Y) → V on the r-th order adapted frame bundle PrA(Y).},

author = {Anna Bednarska},

journal = {Annales UMCS, Mathematica},

keywords = {Fibered square; projectable-projectable vector field; r-th order adapted frame bundle; canonical 1-forms; fibered square; fibered-fibered manifold; projectable vector field; adapted frame},

language = {eng},

number = {1},

pages = {31-36},

title = {Canonical vector valued 1-forms on higher order adapted frame bundles over category of fibered squares},

url = {http://eudml.org/doc/267556},

volume = {62},

year = {2008},

}

TY - JOUR

AU - Anna Bednarska

TI - Canonical vector valued 1-forms on higher order adapted frame bundles over category of fibered squares

JO - Annales UMCS, Mathematica

PY - 2008

VL - 62

IS - 1

SP - 31

EP - 36

AB - Let Y be a fibered square of dimension (m1, m2, n1, n2). Let V be a finite dimensional vector space over. We describe all 21,m2,n1,n2 - canonical V -valued 1-form Θ TPrA (Y) → V on the r-th order adapted frame bundle PrA(Y).

LA - eng

KW - Fibered square; projectable-projectable vector field; r-th order adapted frame bundle; canonical 1-forms; fibered square; fibered-fibered manifold; projectable vector field; adapted frame

UR - http://eudml.org/doc/267556

ER -

## References

top- Doupovec, M., Mikulski, W. M., Gauge natural constructions on higher order principal prolongations, Ann. Polon. Math. 92 (2007), no. 1, 87-97. Zbl1133.58001
- Kolář, I., Michor, P. W. and Slovák, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993. Zbl0782.53013
- Kolář, I., Connections on fibered squares, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 59 (2005), 67-76.
- Kurek, J., Mikulski, W. M., Canonical vector valued 1-forms on higher order adapted frame bundles, Arch. Math. (Brno) 44 (2008), 115-118. Zbl1212.58002
- Mikulski, W. M., The jet prolongations of fibered-fibered manifolds and the flow operator, Publ. Math. Debrecen59 (3-4) (2001), 441-458. Zbl0996.58002

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