Geodesic
On frames defined by horizontal spaces
Czechoslovak Mathematical Journal, Tome 46 (1996) no. 2, pp. 241-248
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DOI : 10.21136/CMJ.1996.127287
Classification : 53B15, 53C05, 58A20 
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León, Manuel de; Ortaçgil, Ercüment. On frames defined by horizontal spaces. Czechoslovak Mathematical Journal, Tome 46 (1996) no. 2, pp. 241-248. doi: 10.21136/CMJ.1996.127287

[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

[CDL] L. A. Cordero, C. T. J. Dodson, M. de León: Differential Geometry of Frame Bundles, Mathematics and its Applications. Kluwer, Dordrecht, 1989.

[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. | DOI | MR

[LE2] M. de León, M. Epstein: Material bodies of higher grade. Comptes Rendus Acad. Sc. Paris 319 Série I (1994), 615–620. | MR

[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.

[LE4] M. de León, M. Epstein: The Differential Geometry of Cosserat Media. Proceedings Colloquium on Differential Geometry, July 25–30, 1994, Debrecen, Hungary.

[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.

[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.

[Fuji] A. Fujimoto: Theory of $G$-Structures. Publications of the Study Group of Geometry, Vol. I. Tokyo, 1972. | MR | Zbl

[Gar] P. L. García: Connections and 1-jet fiber bundles. Rend. Sem. Mat. Univ. Padova 47 (1972), 227–242. | MR

[KobNom] S. Kobayashi, K. Nomizu: Foundations of Differential Geometry, vol. I. Interscience Publishers, New York, 1963. | MR

[Kob] S. Kobayashi: Transformations Groups in Differential Geometry. Springer, Berlin-New York, 1972. | MR

[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.

[Oproiu] V. Oproiu: Connections in the semiholonomic frame bundle of second order. Rev. Roum. Math. Pures et Appl. XIV (1969), no. 5, 661–672. | MR | Zbl

[SS] I. M. Singer, S. Sternberg: On the infinite groups of Lie and Cartan. Ann. Inst. Fourier (Grenoble) 15 (1965), 1–114. | MR

[Yuen] P. C. Yuen: Higher order frames and linear connections. Cahiers de Topologie et Geometrie Differentielle XII (1971), no. 3, 333–371. | MR | Zbl

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