The vertical prolongation of the projectable connections
Annales UMCS, Mathematica (2012)
- Volume: 66, Issue: 1, page 1-5
- ISSN: 2083-7402
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topAnna Bednarska. "The vertical prolongation of the projectable connections." Annales UMCS, Mathematica 66.1 (2012): 1-5. <http://eudml.org/doc/267710>.
@article{AnnaBednarska2012,
abstract = {We prove that any first order F2 Mm1,m2,n1,n2-natural operator transforming projectable general connections on an (m1,m2, n1, n2)-dimensional fibred-fibred manifold p = (p, p) : (pY : Y → Y) → (pM : M → M) into general connections on the vertical prolongation V Y → M of p: Y → M is the restriction of the (rather well-known) vertical prolongation operator V lifting general connections Γ on a fibred manifold Y → M into VΓ (the vertical prolongation of Γ) on V Y → M.},
author = {Anna Bednarska},
journal = {Annales UMCS, Mathematica},
keywords = {Fibred-fibred manifold; natural operator; projectable connection; fibred-fibred manifold; vertical prolongation},
language = {eng},
number = {1},
pages = {1-5},
title = {The vertical prolongation of the projectable connections},
url = {http://eudml.org/doc/267710},
volume = {66},
year = {2012},
}
TY - JOUR
AU - Anna Bednarska
TI - The vertical prolongation of the projectable connections
JO - Annales UMCS, Mathematica
PY - 2012
VL - 66
IS - 1
SP - 1
EP - 5
AB - We prove that any first order F2 Mm1,m2,n1,n2-natural operator transforming projectable general connections on an (m1,m2, n1, n2)-dimensional fibred-fibred manifold p = (p, p) : (pY : Y → Y) → (pM : M → M) into general connections on the vertical prolongation V Y → M of p: Y → M is the restriction of the (rather well-known) vertical prolongation operator V lifting general connections Γ on a fibred manifold Y → M into VΓ (the vertical prolongation of Γ) on V Y → M.
LA - eng
KW - Fibred-fibred manifold; natural operator; projectable connection; fibred-fibred manifold; vertical prolongation
UR - http://eudml.org/doc/267710
ER -
References
top- Doupovec, M., Mikulski, W. M., On the existence of prolongation of connections, Czechoslovak Math. J., 56 (2006), 1323-1334. Zbl1164.58300
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- Mikulski, W. M., The jet prolongations of fibered-fibered manifolds and the flow operator, Publ. Math. Debrecen 59 (2001), no. 3-4, 441-458. Zbl0996.58002
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