| Title:
|
On frames defined by horizontal spaces (English) |
| Author:
|
León, Manuel de |
| Author:
|
Ortaçgil, Ercüment |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
46 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
241-248 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53B15 |
| MSC:
|
53C05 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0870.58005 |
| idMR:
|
MR1388613 |
| DOI:
|
10.21136/CMJ.1996.127287 |
| . |
| Date available:
|
2009-09-24T09:56:06Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127287 |
| . |
| Reference:
|
[DARO] E. A. Dabán, I. S. Rodrigues: On structure equations for second order connections.Differential Geometry and Its Applications, Proc. Conf. Opava (Czechoslovakia), August 24–28, 1992, Silesian University, Opava, 1993, pp. 257–264. MR 1255546 |
| Reference:
|
[CDL] L. A. Cordero, C. T. J. Dodson, M. de León: Differential Geometry of Frame Bundles, Mathematics and its Applications.Kluwer, Dordrecht, 1989. |
| Reference:
|
[LE1] M. de León, M. Epstein: On the integrability of second order $G$-structures with applications to continuous theories of dislocations.Reports on Mathematical Physics 33 (1993), no. 3, 419–436. MR 1277160, 10.1016/0034-4877(93)90008-3 |
| Reference:
|
[LE2] M. de León, M. Epstein: Material bodies of higher grade.Comptes Rendus Acad. Sc. Paris 319 Série I (1994), 615–620. MR 1298293 |
| Reference:
|
[LE3] M. de León, M. Epstein: Material bodies, elasticity and differential geometry.Proceedings of the II Fall Workshop on Differential Geometry and its Applications, Barcelona, September 20–21, 1993, Universitat Politénica de Catalunya, 1994, pp. 47–54. |
| Reference:
|
[LE4] M. de León, M. Epstein: The Differential Geometry of Cosserat Media.Proceedings Colloquium on Differential Geometry, July 25–30, 1994, Debrecen, Hungary. |
| Reference:
|
[LS] M. de León, M. Salgado: Tensor fields and connections on cross-sections in the frame bundle of second order.Publ. Inst. Mathématique 43 (57) (1988), 83–87. |
| Reference:
|
[MS] M. Elzanowski, S. Prishepionok: Connections on holonomic frame bundles of higher order contact and uniform material structures.Research Report No. 4/93, Department of Mathematical Sciences, Portland State University. |
| Reference:
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[Fuji] A. Fujimoto: Theory of $G$-Structures.Publications of the Study Group of Geometry, Vol. I. Tokyo, 1972. Zbl 0235.53035, MR 0348664 |
| Reference:
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[Gar] P. L. García: Connections and 1-jet fiber bundles.Rend. Sem. Mat. Univ. Padova 47 (1972), 227–242. MR 0315624 |
| Reference:
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[KobNom] S. Kobayashi, K. Nomizu: Foundations of Differential Geometry, vol. I.Interscience Publishers, New York, 1963. MR 0152974 |
| Reference:
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[Kob] S. Kobayashi: Transformations Groups in Differential Geometry.Springer, Berlin-New York, 1972. MR 0355886 |
| Reference:
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[Lib1] P. Libermann: Connexions d’ordre supérieur et tenseur de structure.Atti del Convegno Int. di Geometria Differenziale, Bologna, 28–30, September 1967, Ed. Zanichelli, Bologna, 1967, pp. 1–18. |
| Reference:
|
[Oproiu] V. Oproiu: Connections in the semiholonomic frame bundle of second order.Rev. Roum. Math. Pures et Appl. XIV (1969), no. 5, 661–672. Zbl 0182.24104, MR 0248671 |
| Reference:
|
[SS] I. M. Singer, S. Sternberg: On the infinite groups of Lie and Cartan.Ann. Inst. Fourier (Grenoble) 15 (1965), 1–114. MR 0217822 |
| Reference:
|
[Yuen] P. C. Yuen: Higher order frames and linear connections.Cahiers de Topologie et Geometrie Differentielle XII (1971), no. 3, 333–371. Zbl 0222.53033, MR 0307102 |
| . |
