Natural liftings of vector fields to tangent bundles of bundles of 1 -forms

Piotr Kobak

Mathematica Bohemica (1991)

  • Volume: 116, Issue: 3, page 319-326
  • ISSN: 0862-7959

Abstract

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Natural liftings D : I → I T T * are classified for n ≥ 2 . It is proved that they form a 5-parameter family of operators.

How to cite

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Kobak, Piotr. "Natural liftings of vector fields to tangent bundles of bundles of $1$-forms." Mathematica Bohemica 116.3 (1991): 319-326. <http://eudml.org/doc/29325>.

@article{Kobak1991,
abstract = {Natural liftings $D:I\rightarrow ITT^*$ are classified for $n\ge 2$. It is proved that they form a 5-parameter family of operators.},
author = {Kobak, Piotr},
journal = {Mathematica Bohemica},
keywords = {natural operators; vector fields; prolongation of the flow; natural liftings; equivariant maps; natural bundles; natural operators; vector fields; prolongation of the flow},
language = {eng},
number = {3},
pages = {319-326},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Natural liftings of vector fields to tangent bundles of bundles of $1$-forms},
url = {http://eudml.org/doc/29325},
volume = {116},
year = {1991},
}

TY - JOUR
AU - Kobak, Piotr
TI - Natural liftings of vector fields to tangent bundles of bundles of $1$-forms
JO - Mathematica Bohemica
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 116
IS - 3
SP - 319
EP - 326
AB - Natural liftings $D:I\rightarrow ITT^*$ are classified for $n\ge 2$. It is proved that they form a 5-parameter family of operators.
LA - eng
KW - natural operators; vector fields; prolongation of the flow; natural liftings; equivariant maps; natural bundles; natural operators; vector fields; prolongation of the flow
UR - http://eudml.org/doc/29325
ER -

References

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  1. D. J. Eck, 10.1016/0022-4049(86)90076-9, J. Pure Appl. Algebra 42 (1986), 133-140. (1986) Zbl0615.57019MR0857563DOI10.1016/0022-4049(86)90076-9
  2. G. Kainz P. Michor, Natural transformations in differential geometry, Czechoslovak Math. J. 37 (112) (1987), 584-607. (1987) MR0913992
  3. I. Kolář, 10.1007/BF00133034, Ann. Glob. Anal. Geom. 6 (1) (1988), 109-117. (1988) MR0982760DOI10.1007/BF00133034
  4. I. Kolář P. W. Michor J. Slovák, Natural operations in differential geometry, to appeaг. 
  5. I. Kolář Z. Radziszewski, Natural transformations of second tangent and cotangent functors, Czechoslovak Math. J. 38 (113) (1988), 274-279. (1988) MR0946296

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