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Title: 3rd order differential invariants of coframes (English)
Author: Chao, Dao Qui
Author: Krupka, Demeter
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 49
Issue: 5
Year: 1999
Pages: 563-576
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Category: math
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MSC: 53A55
MSC: 58A20
idZBL: Zbl 0962.53012
idMR: MR1746900
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Date available: 2009-09-25T11:41:06Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/131845
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Reference: [1] CHAO, DAO QUI: 2nd Order Differential Invariants on the Bundle of Frames.CSc (=PҺD) Dissertation, Masaгyk Univ., Brno (Czech Republic), 1991.
Reference: [2] DIEUDONNÉ J.: Treatise on Analysis, Vol. III.Academic Press, New York-London, 1972. Zbl 0268.58001, MR 0350769
Reference: [3] GARCIA PÉREZ P. L.-MASQUE J. M.: Differential invariants on the bundles of linear frames.J. Georn. Phys. 7 (1990), 395-418. Zbl 0764.53017, MR 1120933
Reference: [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. Zbl 0366.53037, MR 0305278
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Reference: [7] KRUPKA D.: Elementary theory of differential invariants.Arch. Math. (Brno) 14 (1978), 207-214. Zbl 0428.58002, MR 0512763
Reference: [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. MR 0706930
Reference: [9] KRUPKA D.-JANYŠKA J.: Lectures on Differential Invariants.Brno Univеrsity, Brno (Czеch Rеpublic), 1990. Zbl 0752.53004, MR 1062026
Reference: [10] KRUPKA D.-MIKOLÁŠOVÁ V.: On the uniqueness of some differential invariants: $d,\, [\, ,\, ],\, \bigtriangledown$.Czechoslovak Math. J. 34 (1984), 588-597. MR 0764440
Reference: [11] KRUPKA M.: Natural Operators on Vector Fields and Vector Distributions.Doctoral Dissеrtation, Masaryk Univеrsity, Brno (Czеch Rеpublic), 1995.
Reference: [12] KRUPKA M.: Anti-holonomic jets and the Lie bracket.Arch. Math. (Brno) 34 (1998), 311 319. Zbl 0915.58005, MR 1645336
Reference: [13] NIJENHUIS A.: Natural bundles and their general properties.In: Differеntial Gеomеtry (In honor of K. Yano), Kinokuniya, Tokyo, 1972, pp. 317-334. Zbl 0246.53018, MR 0380862
Reference: [14] THOMAS T. Y.: Thе Differential Invariants of Generalized Spaces.Cambridgе Univеrsity Prеss, Cambridgе, 1934.
Reference: [15] WEYL H.: Thе Classical Groups.Princеton University Press, Princеton, NJ, 1946. MR 1488158
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