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Plesiocompact homogeneous spaces

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Literature Cited

  1. V. V. Gorbatsevich, “A decomposition of Lie groups and its application to the study of homogeneous spaces,” Izv. Akad. Nauk SSSR, Ser. Mat.,43, No. 6, 1127–1157 (1979).

    Google Scholar 

  2. V. V. Gorbatsevich, “Modifications of transitive actions of Lie groups on compact manifolds and their application,” in: Questions of Group Theory and Homological Algebra [in Russian], Yaroslavl' State Univ. (1981), pp 131–145.

  3. V. V. Gorbatsevich, “Structure of compact homogeneous spaces,” Dokl. Akad. Nauk SSSR,249, No. 2, 274–277 (1979).

    Google Scholar 

  4. V. V. Gorbatsevich “A fibration of a compact homogeneous space,” Tr. Mosk. Mat. Obshch.,43, 116–141 (1981).

    Google Scholar 

  5. V. V. Gorbatsevich, “Two fibrations of a compact homogeneous space and some applications,” Izv. Vyssh Uchebn. Zaved., Mat., No. 6, 73–75 (1981).

    Google Scholar 

  6. A. L. Onishchik, “Lie groups, transitive on compact manifolds,” Mat. Sb.,71, No. 4, 483–494 (1966).

    Google Scholar 

  7. M. Ragunatan, Discrete Subgroups of Lie Groups [Russian translation], Mir, Moscow (1977).

    Google Scholar 

  8. S. P. Wang, “Homogeneous spaces with finite invariant measure,” Am. J. Math.,98, No. 2, 311–324 (1976).

    Google Scholar 

  9. G. Mostow, “On the topology of homogeneous spaces of finite measure,” in: Symp. Math. Inst. Naz. Alta Math., Vol. 16, Leningrad-New York (1975), pp. 375–398.

  10. S. Helgason, Differential Geometry and Symmetric Spaces [Russian translation], Mir, Moscow (1964).

    Google Scholar 

  11. L. Auslander, “An exposition of the structure of solvmanifolds,” Bull. Am. Math. Soc.,79, No. 2, 227–261 (1973).

    Google Scholar 

  12. J. Koszul, “Proprietes de stabilité des lois d'operation propres,” Ann. Inst. Fourier,14, 21–29 (1964).

    Google Scholar 

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Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 30, No. 2, pp. 61–72, March–April, 1989.

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Gorbatsevich, V.V. Plesiocompact homogeneous spaces. Sib Math J 30, 217–226 (1989). https://doi.org/10.1007/BF00971376

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  • DOI: https://doi.org/10.1007/BF00971376

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