Geodesic
Principal prolongations and geometries modeled on homogeneous spaces
Archivum mathematicum, Tome 32 (1996) no. 4, pp. 325-342

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We discuss frame bundles and canonical forms for geometries modeled on homogeneous spaces. Our aim is to introduce a geometric picture based on the non-holonomic jet bundles and principal prolongations as introduced in [Kolář, 71]. The paper has a partly expository character and we focus on very general aspects only. In the final section, various links to known results on the parabolic geometries are given briefly and some directions for further investigations are roughly indicated.
Classification : 53A55, 58A20
Keywords: jet prolongation; principal prolongation; Cartan connection 
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     author = {Slov\'ak, Jan},
     title = {Principal prolongations and geometries modeled on homogeneous spaces},
     journal = {Archivum mathematicum},
     pages = {325--342},
     publisher = {mathdoc},
     volume = {32},
     number = {4},
     year = {1996},
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     zbl = {0881.58006},
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     url = {http://geodesic.mathdoc.fr/item/ARM_1996__32_4_a7/}
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Slovák, Jan. Principal prolongations and geometries modeled on homogeneous spaces. Archivum mathematicum, Tome 32 (1996) no. 4, pp. 325-342. http://geodesic.mathdoc.fr/item/ARM_1996__32_4_a7/