Elementary theory of differential invariants

Demeter Krupka

Archivum Mathematicum (1978)

  • Volume: 014, Issue: 4, page 207-214
  • ISSN: 0044-8753

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Krupka, 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

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  1. 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
  2. R. Hermann, Geometry, Physics and Systems, Dekker, New York, 1973. (1973) Zbl0285.58001MR0494183
  3. 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
  4. D. Krupka, Finite order liftings in principal fibre bundles, to appear. Zbl0503.55010MR0680453
  5. 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
  6. D. Krupka, А. Trautman, General invariance of Lagrangian structures, Bull. Аcad. Polon. Sci., Sér. Math. Аstronom. Phys., 22 (1974), 207-211. (1974) Zbl0278.49044MR0345130
  7. 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
  8. R. Sulanke, P. Wintgen, Differentialgeometrie und Faserbündel, VEB Deutscher Verlag der Wissenschaften, Berlin, 1972. (1972) Zbl0327.53020MR0413153
  9. 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

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  1. Demeter Krupka, Reducibility theorems for differentiable liftings in fiber bundles
  2. Anton Dekrét, Vector fields and connections on T M
  3. Jacek Dębecki, The natural operators transforming affinors to tensor fields of type ( 3 , 3 )
  4. Ivan Kolář, Natural transformations of the second tangent functor into itself
  5. Josef Janyška, Remarks on the Nijenhuis tensor and almost complex connections
  6. Demeter Krupka, Věra Mikolášová, On the uniqueness of some differential invariants: d , [ , ] ,
  7. Dao Qui Chao, Demeter Krupka, 3rd order differential invariants of coframes
  8. Josef Janyška, On natural operations with linear connections
  9. M. Ferraris, M. Francaviglia, C. Reina, Sur les fibrés d'objets géométriques et leurs applications physiques
  10. Jan Slovák, Smooth structures on fibre jet spaces

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