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Izvestiya: Mathematics, 2016, Volume 80, Issue 2, Pages 329–341
DOI: https://doi.org/10.1070/IM8288 (Mi im8288) 		 
On the homotopy structure of compact complex homogeneous manifolds

V. V. Gorbatsevich

Moscow State Aviation Technological University, Moscow
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DOI: https://doi.org/10.1070/IM8288
Abstract: We consider compact complex homogeneous manifolds up to finite coverings. We give sufficient conditions under which the natural bundle for such a manifold is homotopically trivial. This triviality always holds in the case when the stationary subgroup is discrete.
Keywords: complex Lie group, homogeneous space, lattice, homotopy type.
Received: 21.08.2014
Revised: 10.03.2015
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2016, Volume 80, Issue 2, Pages 47–62
DOI: https://doi.org/10.4213/im8288
Bibliographic databases:
Document Type: Article
UDC: 512.816.3
MSC: 57T20, 32M05, 53C30, 55R10
Language: English
Original paper language: Russian
Citation: V. V. Gorbatsevich, “On the homotopy structure of compact complex homogeneous manifolds”, Izv. RAN. Ser. Mat., 80:2 (2016), 47–62; Izv. Math., 80:2 (2016), 329–341
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v80/i2/p47
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:356
    Russian version PDF:136
    English version PDF:12
    References:48
    First page:21
     
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