×

zbMATH — the first resource for mathematics

Higher order torsions of spaces with Cartan connection. (English) Zbl 0221.53039

MSC:
53C07 Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)
53C30 Differential geometry of homogeneous manifolds
PDF BibTeX XML Cite
Full Text: Numdam EuDML
References:
[1] B. Cenkl , On the Higher Order Connections , Cahiers de Topologie et Géométrie différentielle , IX , 11 - 32 ( 1967 ). Numdam | MR 233300 | Zbl 0197.47801 · Zbl 0197.47801 · numdam:CTGDC_1967__9_1_11_0 · eudml:91048
[2] C. Ehresmann , Les connexions infinitésimales dans un espace fibré différentiable, Colloque de Topologie , Bruxelles , 29 - 55 ( 1950 ). MR 42768 | Zbl 0054.07201 · Zbl 0054.07201
[3] C. Ehresmann , Applications de la notion de jet non-holonome , C.R.A. S. 240 , Paris , 397 - 399 ( 1955 ). MR 66735 | Zbl 0064.16401 · Zbl 0064.16401
[4] C. Ehresmann , Sur les connexions d’ordre supérieur , Atti del V^\circ Congresso dell’Unione Matematica Italiana, 1955 , Roma Cremonese , 344 - 346 .
[5] I. Kolar , On the Torsion of Spaces with Connection , Czechoslovak Math. J. 21 ( 96 ), 124 - 136 ( 1971 ). Article | MR 293531 | Zbl 0216.18501 · Zbl 0216.18501 · eudml:12574
[6] P. Libermann , Pseudogroupes infinitésimaux attachés aux pseudogroupes de Lie , Bull. Soc. Math. France , 87 , 409 - 425 ( 1959 ). Numdam | MR 123279 | Zbl 0198.26801 · Zbl 0198.26801 · numdam:BSMF_1959__87__409_0 · eudml:86972
[7] U. Lumiste , Connections in Homogeneous Fiberings (Russian) , Mat. Sbornik , 69 ( 11 1 ), 434-469 ( 1966 ). MR 203627 · Zbl 0143.44602
[8] N. Que , Du prolongement des espaces fibrés et des structures infinitésimales , Ann. Inst. Fourier , Grenoble , 17 , 157 - 223 ( 1967 ). Numdam | MR 221416 | Zbl 0157.28506 · Zbl 0157.28506 · doi:10.5802/aif.255 · numdam:AIF_1967__17_1_157_0 · eudml:73917
[9] P. Ver Eecke , Sur les connexions d’éléments de contact , Sem. Top. et Géo. Diff. ( Ehresm ann ) , V , 1963 . Numdam | Zbl 0143.44504 · Zbl 0143.44504 · eudml:110498
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.