Natural liftings of -tensor fields to the tangent bundle
Archivum Mathematicum (1994)
- Volume: 030, Issue: 3, page 215-225
- ISSN: 0044-8753
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topDoupovec, Miroslav. "Natural liftings of $(0,2)$-tensor fields to the tangent bundle." Archivum Mathematicum 030.3 (1994): 215-225. <http://eudml.org/doc/247558>.
@article{Doupovec1994,
abstract = {We determine all first order natural operators transforming $(0,2)$–tensor fields on a manifold $M$ into $(0,2)$–tensor fields on $TM$.},
author = {Doupovec, Miroslav},
journal = {Archivum Mathematicum},
keywords = {natural operator; tensor field; complete lift; vertical lift; tangent bundle; natural operators; tensor fields; complete lift; vertical lift},
language = {eng},
number = {3},
pages = {215-225},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Natural liftings of $(0,2)$-tensor fields to the tangent bundle},
url = {http://eudml.org/doc/247558},
volume = {030},
year = {1994},
}
TY - JOUR
AU - Doupovec, Miroslav
TI - Natural liftings of $(0,2)$-tensor fields to the tangent bundle
JO - Archivum Mathematicum
PY - 1994
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 030
IS - 3
SP - 215
EP - 225
AB - We determine all first order natural operators transforming $(0,2)$–tensor fields on a manifold $M$ into $(0,2)$–tensor fields on $TM$.
LA - eng
KW - natural operator; tensor field; complete lift; vertical lift; tangent bundle; natural operators; tensor fields; complete lift; vertical lift
UR - http://eudml.org/doc/247558
ER -
References
top- The canonical isomorphism between and , CRAS Paris 309 (1989), 1509–1514. (1989) MR1033091
- Methods of Differential Geometry in Analytical Mechanics, North-Holland Mathematics Studies 158, Amsterdam, 1989. (1989) MR1021489
- Natural –forms on the tangent bundle of a Riemannian manifold, to appear in Proc. of Winter School in Srní, Suppl. Rend. Circ. Matem. Palermo.
- Natural transformations of the second tangent functor into itself, Arch. Math. (Brno) XX (1984), 169–172. (1984) MR0784868
- Natural transformations of second tangent and cotangent functors, Czech. Math. J. 38(113) (1988), 274–279. (1988) MR0946296
- Natural Operations in Differential Geometry, Springer-Verlag, 1993. (1993) MR1202431
- Natural transformations of Riemannian metrics on manifolds to metrics on tangent bundles – a classification, Differential Geometry and Its Applications, Proceedings, D. Reidel Publishing Company (1987), 149–178. (1987) MR0923348
- Some results on second tangent and cotangent spaces, Quaderni dell’ Instituto di Matematica dell’ Università di Lecce Q. 16 (1978). (1978)
- Liftings of tensor fields and connections to tangent bundle of higher order, Nagoya Math. J. 40 (1970), 99–120. (1970) MR0279719
- Liftings of some types of tensor fields and connections to tangent bundles of –velocities, Nagoya Math. J. 40 (1970), 13–31. (1970) MR0279720
- Hamiltonian systems, Lagrangian systems and the Legendre transformation, Symp. Math. 14, 247–258, Roma 1974.
- Tangent and cotangent bundles, Marcel Dekker Inc., New York, 1973. (1973) MR0350650
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