RUS  ENG
Full version
JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics

Izv. Saratov Univ. Math. Mech. Inform., 2018, Volume 18, Issue 3, Pages 284–296 (Mi isu763)

Non-reductive homogeneous spaces not admitting normal connections
N. P. Mozhey

References

1. Vagner V. V, “The theory of composite manifold”, Proceedings of the seminar on vector and tensor analysis, 8, Moscow Univ. Press, M., 1950, 11–72  mathscinet
2. Elircsmatin C., “Les connections infinitesimales dans un espace fibre differentiable”, Colloque de Topologie, Bruxelles, 1950, 29–55
3. Laptev G. F, “Differential geometry of immersed manifolds”, Proc. Moscow Math. Soc., 2, 1953, 275–382  mathnet  zmath
4. Akivis M. A., Gol'dberg V. V., Chakmazjan A. V, “Induced Connections on Manifolds in Spaces with Fundamental Groups”, Russian Math. (Iz. VUZ), 48:10 (2004), 1–15  mathnet  mathscinet  zmath
5. Stoljarov A. V, Dual theory of framed manifolds, Chuvashskij State Ped. Univ., Cheboksary, 1994, 290 pp.  mathscinet
6. Lumiste U. G, “Connection theory in bundle spaces”, J. Soviet Math., 1:3 (1973), 363–390  mathnet  crossref  zmath
7. Evtushik L. E., Lumiste Yu. G., Ostianu N. M., Shirokov A. P., “Differential-geometric structures on manifolds”, J. Soviet Math., 14:6 (1980), 1573–1719  mathnet  mathnet  crossref  mathscinet  mathscinet
8. Kobayashi S., Nomizu K., Foundations of differential geometry, v. 1, John Wiley and Sons, N. Y., 1963  mathscinet  zmath; v. 2, 1969
9. Mozhej N. P., “Three-dimensional non-reductive homogeneous spaces of unsolvable Lie groups”, Proceedings of the National Academy of Sciences of Belarus, 61:4 (2017), 20–26  mathscinet
10. Mozhej N. P., “Connections on the non-reductive homogeneous spaces with the unsolvable group of transformations”, Proceedings of the National Academy of Sciences of Belarus, 61:5 (2017), 7–16


© Steklov Math. Inst. of RAS, 2026