The natural operators transforming affinors to tensor fields of type ( 3 , 3 )

Jacek Dębecki

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2000)

  • Volume: 39, Issue: 1, page 37-49
  • ISSN: 0231-9721

How to cite

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Dębecki, Jacek. "The natural operators transforming affinors to tensor fields of type $(3,3)$." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 39.1 (2000): 37-49. <http://eudml.org/doc/23694>.

@article{Dębecki2000,
author = {Dębecki, Jacek},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {affinor; natural operator; equivariant map; eigenvalues; linear endomorphism},
language = {eng},
number = {1},
pages = {37-49},
publisher = {Palacký University Olomouc},
title = {The natural operators transforming affinors to tensor fields of type $(3,3)$},
url = {http://eudml.org/doc/23694},
volume = {39},
year = {2000},
}

TY - JOUR
AU - Dębecki, Jacek
TI - The natural operators transforming affinors to tensor fields of type $(3,3)$
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2000
PB - Palacký University Olomouc
VL - 39
IS - 1
SP - 37
EP - 49
LA - eng
KW - affinor; natural operator; equivariant map; eigenvalues; linear endomorphism
UR - http://eudml.org/doc/23694
ER -

References

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  1. Boman J., Differentiability of a function and of its composition with a function of one variable, Math. Scand. 20 (1967), 249-268. (1967) MR0237728
  2. Debecki J., Natural transformations of affinors into functions and affinors, Suppl. Rend. Circ. Mat. Palermo II 30 (1993), 101-112. (1993) Zbl0816.58002MR1246624
  3. Debecki J., Natural transformations of affinors into linear forms, Suppl. Rend. Circ. Mat. Palermo II 32 (1993), 49-59. (1993) MR1283621
  4. Kolář I., Michor P. W., Slovák J., Natural Operations in Differential Geometry, Springer- Verlag, Berlin, Heidelberg, 1993. (1993) MR1202431
  5. Krupka D., Elementary theory of differential invariants, Arch. Math. 14 (1978), 207-214. (1978) Zbl0428.58002MR0512763
  6. Mikulski W., The linear natural operators transforming affinors to tensor fields of type (0,p) on Weil bundles, to appear. Zbl1029.58001MR1885318

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