Elementary theory of differential invariants
Archivum Mathematicum (1978)
- Volume: 014, Issue: 4, page 207-214
- ISSN: 0044-8753
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topKrupka, Demeter. "Elementary theory of differential invariants." Archivum Mathematicum 014.4 (1978): 207-214. <http://eudml.org/doc/17983>.
@article{Krupka1978,
author = {Krupka, Demeter},
journal = {Archivum Mathematicum},
keywords = {Lie group of r-jets of all local diffeomorphisms of Rn; jet equivariant maps; invariants under the action of jets of local diffeomorphisms},
language = {eng},
number = {4},
pages = {207-214},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Elementary theory of differential invariants},
url = {http://eudml.org/doc/17983},
volume = {014},
year = {1978},
}
TY - JOUR
AU - Krupka, Demeter
TI - Elementary theory of differential invariants
JO - Archivum Mathematicum
PY - 1978
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 014
IS - 4
SP - 207
EP - 214
LA - eng
KW - Lie group of r-jets of all local diffeomorphisms of Rn; jet equivariant maps; invariants under the action of jets of local diffeomorphisms
UR - http://eudml.org/doc/17983
ER -
References
top- C. Ehresmann, Introduction à la théorie des structures infinitésimales et des pseudogroupes de Lie, Coll. de Géom. Diff. de Strasbourg, CNRS Paris (1953), 97-110. (1953) Zbl0053.12002MR0061454
- R. Hermann, Geometry, Physics and Systems, Dekker, New York, 1973. (1973) Zbl0285.58001MR0494183
- D. Krupka, A setting for generally invariant Lagrangian structures in tensor bundles, Bull. Аcad. Polon. Sci., Sér. Math. Аstronom. Phys., 22 (1974), 967-972. (1974) Zbl0305.58002MR0410793
- D. Krupka, Finite order liftings in principal fibre bundles, to appear. Zbl0503.55010MR0680453
- D. Krupka, Lagrangians and topology, Proc. Sympos. "Relativity and Gravitation", Brno, 1975, Scripta fac. sci. nat. UJEP Brunensis, Physica 5 (1975), 265-270. (1975) MR0442929
- D. Krupka, А. Trautman, General invariance of Lagrangian structures, Bull. Аcad. Polon. Sci., Sér. Math. Аstronom. Phys., 22 (1974), 207-211. (1974) Zbl0278.49044MR0345130
- А. Nijenhuis, Natural bundles and their general properties, (Geometric objects revisited), in: Differential Geometry, in honour of K. Yano, Kinokuniya, Tokyo, 1972, 317-334. (1972) Zbl0246.53018MR0380862
- R. Sulanke, P. Wintgen, Differentialgeometrie und Faserbündel, VEB Deutscher Verlag der Wissenschaften, Berlin, 1972. (1972) Zbl0327.53020MR0413153
- А. Trautman, Invariance of Lagrangian systems, in: General Relativity, papers in honour of J. L. Synge, Clarendon Press, Oxford, 1972, 85-97. (1972) Zbl0273.58004MR0503424
Citations in EuDML Documents
top- Anton Dekrét, Vector fields and connections on
- Demeter Krupka, Reducibility theorems for differentiable liftings in fiber bundles
- Ivan Kolář, Natural transformations of the second tangent functor into itself
- Jacek Dębecki, The natural operators transforming affinors to tensor fields of type
- Josef Janyška, On natural operations with linear connections
- Demeter Krupka, Věra Mikolášová, On the uniqueness of some differential invariants: , ,
- Josef Janyška, Remarks on the Nijenhuis tensor and almost complex connections
- Dao Qui Chao, Demeter Krupka, 3rd order differential invariants of coframes
- M. Ferraris, M. Francaviglia, C. Reina, Sur les fibrés d'objets géométriques et leurs applications physiques
- Jan Slovák, Smooth structures on fibre jet spaces
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