Geodesic
Step-fibred spaces
Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 5 (1974), pp. 259-309

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A class of fibred spaces is introduced, having a fibred space as the base and the stationary subgroup of a supporting $G$-object ($G$ being a Lie group) as the type fibre. The construction of these spaces, named fibred spaces of $H$-structure, is based on properly defined class of Pfaffian systems (systems of step-fibred structure), principal two-floor step-fibred spaces and generalized geometric elements. Various fields of geometrical objects defined on a fibred space of $H$-structure are studied. 
@article{INTG_1974_5_a10,
     author = {N. M. Ostianu},
     title = {Step-fibred spaces},
     journal = {Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara},
     pages = {259--309},
     publisher = {mathdoc},
     volume = {5},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTG_1974_5_a10/}
}
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N. M. Ostianu. Step-fibred spaces. Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 5 (1974), pp. 259-309. http://geodesic.mathdoc.fr/item/INTG_1974_5_a10/