Geodesic
Metric properties of endomorphisms on homogeneous spaces of compact groups
Izvestiya. Mathematics, Tome 5 (1971) no. 1, pp. 80-85 
S. A. Yuzvinskii. Metric properties of endomorphisms on homogeneous spaces of compact groups. Izvestiya. Mathematics, Tome 5 (1971) no. 1, pp. 80-85. http://geodesic.mathdoc.fr/item/IM2_1971_5_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The basic results of the paper [1] on endomorphisms of compact groups are extended to endomorphisms of homogeneous spaces of such groups.

[1] Yuzvinskii S. A., “Metricheskie svoistva endomorfizmov kompaktnykh grupp”, Izv. AN SSSR. Ser. matem., 29 (1965), 1295–1328 | Zbl

[2] Conze J.-P., “Extensions de systèmes dynamiques par de endomorphismes de groupes compacts”, Compt. rend. Acad. Sci., 268:22 (1969), A1369–A1372 | MR

[3] Rokhlin V. A., “Metricheskie svoistva endomorfizmov kompaktnykh kommutativnykh grupp”, Izv. AN SSSR. Ser. matem., 28 (1964), 867–874 | Zbl

[4] Yuzvinskii S. A., “Vychislenie entropii gruppovogo endomorfizma”, Sib. matem. zh., VIII:1 (1967), 230–239

[5] Pontryagin L. S., Nepreryvnye gruppy, GITTL, M., 1954 | MR

[6] Kaplansky I., “Groups with representations of bounded degree”, Canad. J. Math., 1:1 (1940), 105–112 | MR

[7] Abramov L. M., Rokhlin V. A., “Entropiya kosogo proizvedeniya preobrazovanii s invariantnoi meroi”, Vestn. Leningr. un-ta, 7:2 (1962), 5–13 | Zbl

[8] Thomas R. K., Ergodic theory of $G$-spaces, A thesis for the degree of Doctor of Philosophy, Warwick, 1969