Reducibility theorems for differentiable liftings in fiber bundles
Archivum Mathematicum (1979)
- Volume: 015, Issue: 2, page 93-106
- ISSN: 0044-8753
Access Full Article
topHow to cite
topKrupka, Demeter. "Reducibility theorems for differentiable liftings in fiber bundles." Archivum Mathematicum 015.2 (1979): 93-106. <http://eudml.org/doc/17996>.
@article{Krupka1979,
author = {Krupka, Demeter},
journal = {Archivum Mathematicum},
keywords = {liftings in fiber bundles; principal fiber bundles with structural group a Lie group; finite determinary of smooth lifts},
language = {eng},
number = {2},
pages = {93-106},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Reducibility theorems for differentiable liftings in fiber bundles},
url = {http://eudml.org/doc/17996},
volume = {015},
year = {1979},
}
TY - JOUR
AU - Krupka, Demeter
TI - Reducibility theorems for differentiable liftings in fiber bundles
JO - Archivum Mathematicum
PY - 1979
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 015
IS - 2
SP - 93
EP - 106
LA - eng
KW - liftings in fiber bundles; principal fiber bundles with structural group a Lie group; finite determinary of smooth lifts
UR - http://eudml.org/doc/17996
ER -
References
top- G. W. Horndeski D. Lovelock, Scalar-tensor field theories, Tensor, 24 (1972), 79-92. (1972) MR0327251
- D. Husemoller, Fibre Bundles, McGraw-Hill, New York, 1966. (1966) Zbl0144.44804MR0229247
- Chuu-Lian Terng, Natural vector bundles and natural differential operators, A dissertation, Brandeis University, Massachusetts, 1976. (1976)
- S. Kobayashi K. Nomizu, Foundations of Differential Geometry, Vol. 1, Interscience, New York, 1963. (1963) MR0152974
- D. Krupka, A setting for generally invariant Lagrangian structures in tensor bundles, Bull. Acad. Polon. Sci, Sér. Math. Astronom. Phys., 22 (1974), 967-972. (1974) Zbl0305.58002MR0410793
- D. Krupka, A theory of generally invariant Lagrangians for the metric fields. II., Intern. J. Theor. Phys. 15 (1976), 949-959; I., Intern. J. Theor. Phys. 17 (1978), 359-368 (1976) MR0503475
- D. Krupka, Elementary theory of differential invariants, Arch. Math. (Brno), 14 (1978), 207-214 (1978) Zbl0428.58002MR0512763
- D. Krupka, Finite order liftings in principal fibre bundles, Beiträge zur Algebra und Geometrie (Halle), to appear. Zbl0503.55010MR0680453
- D. Krupka, Lagrangians and topology, Scripta Fac. Sci. Nat. UJEP Brunensis, Physica 3- 4 (1975), 265-270. (1975) MR0442929
- D. Krupka A. Trautman, General invariance of Lagrangian structures, Bull. Acad. Polon. Sci, Sér. Math. Astronom. Phys., 22 (1974), 207-211. (1974) MR0345130
- A. Nijenhuis, Natural bundles and their general properties, Differential geometry, in honour of K. Yano, Kinokunyia, Tokyo, 1972, 317-334. (1972) Zbl0246.53018MR0380862
- H. Rund, Invariant theory of variational problems for geometric objects, Tensor, 18 (1967), 240-257. (1967) Zbl0152.39403MR0217668
- S. E. Salvioli, On the theory of geometric objects, J. Diff. Geometry 7 (1972), 257-278. (1972) Zbl0276.53013MR0320922
- R. Sulanke P. Wintgen, Differentialgeometrie und Faserbündel, Berlin, 1972. (1972) MR0413153
Citations in EuDML Documents
top- Anton Dekrét, Prolongation of natural bundles
- Josef Janyška, Geometrical properties of prolongation functors
- Demeter Krupka, Věra Mikolášová, On the uniqueness of some differential invariants: , ,
- M. Ferraris, M. Francaviglia, C. Reina, Sur les fibrés d'objets géométriques et leurs applications physiques
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.