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Литература
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| 1. |
Балащенко В. В., Никоноров Ю. Г., Родионов Е. Д., Славский В. В., Однородные пространства: теория и приложения, Полиграфист, Ханты-Мансийск, 2008 |
| 2. |
Петров А. З., “Классификация пространств, определяющих поля тяготения”, Учëн. зап. Казан. гос. ун-та, 114, № 8, 1954, 55–69 |
| 3. |
Трофимов В. В., Фоменко А. Т., “Интегрируемость по Лиувиллю гамильтоновых систем на алгебрах Ли”, УМН, 39:2 (1984), 3–56 |
| 4. |
Трофимов В. В., Фоменко А. Т., “Геометрические и алгебраические механизмы интегрируемости гамильтоновых систем на однородных пространствах и алгебрах Ли”, Итоги науки и техн. Сер. Соврем. пробл. мат. Фундам. направления, 16, 1987, 227–299 |
| 5. |
Del Barco V., Ovando G. P., “Isometric actions on pseudo-Riemannian nilmanifolds”, Ann. Global Anal. Geom., 45:2 (2014), 95–110 |
| 6. |
Bejancu A., Farran H. R., Foliations and Geometric Structures, Math. and Its Appl., 580, Springer, Berlin, 2006 |
| 7. |
Blau M., O'Loughlin M., “Homogeneous plane waves”, Nuclear Phys. B, 654 (2003), 135–176 |
| 8. |
Bokan N., Šukilović T., Vukmirović S., “Lorentz geometry of $4$-dimensional nilpotent Lie groups”, Geom. Dedicata, 177 (2015), 83–102 |
| 9. |
Cordero L. A., Parker P. E., “Left-invariant Lorentz metrics on $3$-dimensional Lie groups”, Rend. Mat. Appl., 7 (1997), 129–155 |
| 10. |
Cordero L. A., Parker P. E., “Isometry groups of pseudoriemannian $2$-step nilpotent Lie groups”, Houston J. Math., 35:1 (2009), 49–72 |
| 11. |
Eberlein P., “Geometry of $2$-step nilpotent groups with a left invariant metric”, Ann. Sci. École Norm. Sup. (4), 27:5 (1994), 611–660 |
| 12. |
Guediri M., “Sur la complétude des pseudo-métriques invariantes à gauche sur les groupes de Lie nilpotents”, Rend. Sem. Mat. Univ. Pol. Torino, 52 (1994), 371–376 |
| 13. |
Homolya Sz., Kowalski O., “Simply connected two-step homogeneous nilmanifolds of dimension 5”, Note Mat., 26:1 (2006), 69–77 |
| 14. |
Kaplan A., “Riemannian nilmanifolds attached to Clifford modules”, Geom. Dedicata, 11:2 (1981), 127–136 |
| 15. |
Keane A. J., Tupper B. O., “Killing tensors in pp-wave spacetimes”, Classical Quantum Gravity, 27:24 (2010), 245011 |
| 16. |
Lauret J., “Homogeneous nilmanifolds of dimension 3 and 4”, Geom. Dedicata, 68 (1997), 145–155 |
| 17. |
Milnor J., “Curvatures of left invariant metrics on Lie groups”, Adv. Math., 21:3 (1976), 293–329 |
| 18. |
Patera J., Sharp R. T., Winternitz P., Zassenhaus H., “Invariants of real low dimension Lie algebras”, J. Geom. Phys., 17:6 (1976), 986–994 |
| 19. |
Penrose R., “Any space-time has a plane wave as a limit”, Differential Geometry and Relativity, Math. Phys. Appl. Math., 3, Springer Netherlands, 1976, 271–275 |
| 20. |
Warner F. W., Foundations of Differentiable Manifolds and Lie Groups, Scott Foresman, Glenview, 1971 |