We describe all F2Mm1,m2,n1,n2-natural affinors on the r-th order adapted frame bundle PrAY over (m1,m2, n1, n2)-dimensional fibered-fibered manifolds Y.
@article{bwmeta1.element.doi-10_2478_v10062-008-0006-2, author = {Agnieszka Czarnota}, title = { Natural affinors on the r -th order adapted frame bundle over fibered-fibered manifolds }, journal = {Annales UMCS, Mathematica}, volume = {62}, year = {2008}, pages = {55-60}, zbl = {1225.58005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-008-0006-2} }
Agnieszka Czarnota. Natural affinors on the r -th order adapted frame bundle over fibered-fibered manifolds . Annales UMCS, Mathematica, Tome 62 (2008) pp. 55-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-008-0006-2/
Doupovec, M., Mikulski, W. M., Gauge natural constructions on higher order principal prolongations, Ann. Polon. Math. 92 (2007), no. 1, 87-97.[WoS] | Zbl 1133.58001
Kolář, I., Michor, P. W. and Slovák, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993. | Zbl 0782.53013
Kolář, I., Connections on fibered squares, Ann. Univ. Mariae Curie-Skłodowska Sect. A 59 (2005), 67-76.
Kurek, J., Mikulski, W. M., The natural affinors on the r-th order frame bundle, Demonstratio Math. 41 (2008), 701-704. | Zbl 1149.58001
Mikulski, W. M., The jet prolongations of fibered-fibered manifolds and the flow operator, Publ. Math. Debrecen 59 (3-4) (2001), 441-458. | Zbl 0996.58002