3rd order differential invariants of coframes

Dao Qui Chao; Demeter Krupka

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 5, page 563-576
  • ISSN: 0139-9918

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Chao, Dao Qui, and Krupka, Demeter. "3rd order differential invariants of coframes." Mathematica Slovaca 49.5 (1999): 563-576. <http://eudml.org/doc/32205>.

@article{Chao1999,
author = {Chao, Dao Qui, Krupka, Demeter},
journal = {Mathematica Slovaca},
keywords = {differential invariant; differential group; frame; coframe},
language = {eng},
number = {5},
pages = {563-576},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {3rd order differential invariants of coframes},
url = {http://eudml.org/doc/32205},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Chao, Dao Qui
AU - Krupka, Demeter
TI - 3rd order differential invariants of coframes
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 5
SP - 563
EP - 576
LA - eng
KW - differential invariant; differential group; frame; coframe
UR - http://eudml.org/doc/32205
ER -

References

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  1. CHAO, DAO QUI, 2nd Order Differential Invariants on the Bundle of Frames, CSc (=PҺD) Dissertation, Masaгyk Univ., Brno (Czech Republic), 1991. (1991) 
  2. DIEUDONNÉ J., Treatise on Analysis, Vol. III, Academic Press, New York-London, 1972. (1972) Zbl0268.58001MR0350769
  3. GARCIA PÉREZ P. L.-MASQUE J. M., Differential invariants on the bundles of linear frames, J. Georn. Phys. 7 (1990), 395-418. (1990) Zbl0764.53017MR1120933
  4. KOLÁŘ I., On the prolongations of geometric object fields, An. Ştiinţ. Univ. "Al. I. Cuza" Iaşi Secţ. I a Mat. 17 (1971), 437-446. (1971) Zbl0366.53037MR0305278
  5. KOLÁŘ I.-MICHOR P.-SLOVÁK J., Natural Operations in Differential Geometry, Springer-Verlag, Bеrlin, 1993. (1993) Zbl0782.53013MR1202431
  6. KRUPKA D., A setting for generally invariant Lagrangian structures in tensor bundles, Bull. Acad. Polon. Sci. Sér. Math. Astr. Phys. 22 (1974), 967-972. (1974) Zbl0305.58002MR0410793
  7. KRUPKA D., Elementary theory of differential invariants, Arch. Math. (Brno) 14 (1978), 207-214. (1978) Zbl0428.58002MR0512763
  8. KRUPKA D., Local invariants of a linear connection, In: Diffеrеntial Gеomеtry, Budapеst (Hungary), 1979. Colloq. Math. Soc. János Bolyai 31, North Holland, Amstеrdam, 1982, pp. 349-369. (1979) MR0706930
  9. KRUPKA D.-JANYŠKA J., Lectures on Differential Invariants, Brno Univеrsity, Brno (Czеch Rеpublic), 1990. (1990) Zbl0752.53004MR1062026
  10. KRUPKA D.-MIKOLÁŠOVÁ V., On the uniqueness of some differential invariants: d , [ , ] , ▽ , Czechoslovak Math. J. 34 (1984), 588-597. (1984) MR0764440
  11. KRUPKA M., Natural Operators on Vector Fields and Vector Distributions, Doctoral Dissеrtation, Masaryk Univеrsity, Brno (Czеch Rеpublic), 1995. (1995) 
  12. KRUPKA M., Anti-holonomic jets and the Lie bracket, Arch. Math. (Brno) 34 (1998), 311 319. (1998) Zbl0915.58005MR1645336
  13. NIJENHUIS A., Natural bundles and their general properties, In: Differеntial Gеomеtry (In honor of K. Yano), Kinokuniya, Tokyo, 1972, pp. 317-334. (1972) Zbl0246.53018MR0380862
  14. THOMAS T. Y., Thе Differential Invariants of Generalized Spaces, Cambridgе Univеrsity Prеss, Cambridgе, 1934. (1934) 
  15. WEYL H., Thе Classical Groups, Princеton University Press, Princеton, NJ, 1946. (1946) MR1488158

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