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Izvestiya: Mathematics, 2020, Volume 84, Issue 5, Pages 845–861
DOI: https://doi.org/10.1070/IM8922 (Mi im8922) 		 
On the topology of non-compact simply connected homogeneous manifolds

V. V. Gorbatsevich
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DOI: https://doi.org/10.1070/IM8922
Abstract: We study the covariant bundles (Mostow bundles) for simply connected homogeneous manifolds, establish their relation to homogeneous bundles and consider classes of homogeneous manifolds for which the Mostow bundle is trivial (resp. non-trivial). We also give a classification of non-compact simply connected homogeneous manifolds of dimension not exceeding seven.
Keywords: homogeneous manifold, covariant bundle, homogeneous bundle, Mostow bundle, topological triviality of a bundle.
Received: 02.04.2019
Revised: 15.07.2019
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2020, Volume 84, Issue 5, Pages 20–39
DOI: https://doi.org/10.4213/im8922
Bibliographic databases:
Document Type: Article
UDC: 512.816.5
MSC: 22F30
Language: English
Original paper language: Russian
Citation: V. V. Gorbatsevich, “On the topology of non-compact simply connected homogeneous manifolds”, Izv. RAN. Ser. Mat., 84:5 (2020), 20–39; Izv. Math., 84:5 (2020), 845–861
Citation in format AMSBIB
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:41
    English version PDF:24
    References:25
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