Geodesic
Ergodic decomposition of flows on homogeneous spaces of finite volume
Sbornik. Mathematics, Tome 68 (1991) no. 2, pp. 483-502 Cet article a éte moissonné depuis la source Math-Net.Ru

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The reduction of the theory of flows on homogeneous spaces of finite volume to the ergodic case is studied in full scope. Bibliography: 20 titles. 
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A. N. Starkov. Ergodic decomposition of flows on homogeneous spaces of finite volume. Sbornik. Mathematics, Tome 68 (1991) no. 2, pp. 483-502. http://geodesic.mathdoc.fr/item/SM_1991_68_2_a8/

[1] Starkov A. N., “Neergodicheskie odnorodnye potoki”, DAN SSSR, 288:3 (1986), 560–562 | MR | Zbl

[2] Gelfand I. M., Fomin S. V., “Geodezicheskii potok na mnogoobrazii postoyannoi otritsatelnoi krivizny”, UMN, 7:1 (1952), 118–137 | MR | Zbl

[3] Starkov A. N., “Ergodicheskoe razlozhenie dlya odnorodnykh potokov”, Izv. AN SSSR. Ser. matem., 51 (1987), 1191–1213 | MR

[4] Auslender L., Grin L., Khan F., Potoki na odnorodnykh prostranstvakh, Mir, M., 1966 | MR

[5] Moore C. C., “The Mautner phenomenon for general unitary representations”, Pacific J. Math., 86:1 (1980), 154–169 | MR

[6] Dani S. G., “Spectrum of an affine transformations”, Duke J. Math., 44:1 (1977), 129–155 | DOI | MR | Zbl

[7] Auslander L., “An exposition of the structure of solvmanifolds”, Bull. Amer. Math. Soc., 79:2 (1973), 227–285 | DOI | MR

[8] Ragunatan M., Diskretnye podgruppy grupp Li, Mir, M., 1977 | MR

[9] Starkov A. Ya., “Kontrprimer k odnoi teoreme o reshetkakh v gruppakh Li”, Vestn. MGU. Ser. 1. Matematika, mekhanika, 1984, no. 5, 68–69 | MR | Zbl

[10] Starkov A. N., “O kriterii ergodichnosti $G$-indutsirovannykh potokov”, UMN, 42:3 (1987), 197–198 | MR | Zbl

[11] Auslander L., Brezin J., “Almost algebraic Lie algebras”, J. of Algebra, 8:4 (1968), 295–313 | DOI | MR | Zbl

[12] Khamfri Dzh., Lineinye algebraicheskie gruppy, Mir, M., 1979

[13] Dani S. G., “Strictly non-ergodic actions on homogeneous spaces”, Duke J. Math., 47:3 (1980), 633–639 | DOI | MR | Zbl

[14] Bowen R., “Weak mixing and unique ergodicitv on homogeneous spaces”, Israel J. Math., 23 (1976), 267–273 | DOI | MR | Zbl

[15] Marcus B., “The horocycle flow is mixing of all degrees”, Invent. Math., 46 (1978), 201–209 | DOI | MR | Zbl

[16] Dani S. G., “Orbits of horospherical flows”, Duke J. Math., 53:1 (1986), 177–188 | DOI | MR | Zbl

[17] Dani S. G., “Invariant measures and minimal sets of horospherical flows”, Invent. Math., 64 (1981), 357–385 | DOI | MR | Zbl

[18] Starkov A. N., “Razreshimye odnorodnye potoki”, Matem. sb., 134(176) (1987), 242–259 | MR | Zbl

[19] Margulis G. A., “Formes quadratiques indefinies et flots unipotents sur les espaces homogenes”, C. R. Acad. Sc. Paris, 304 (Ser. 1):10 (1987), 249–253 | MR | Zbl

[20] Humphreys J., Math. Reviews, 1986, {\tt 86f:22013}, 2387