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Izvestiya: Mathematics, 2014, Volume 78, Issue 3, Pages 459–474
DOI: https://doi.org/10.1070/IM2014v078n03ABEH002694 (Mi im8098) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Sub-Riemannian geometries on compact homogeneous spaces

V. V. Gorbatsevich

Moscow State Aviation Technological University, Moscow
English version PDF (257 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM2014v078n03ABEH002694
Abstract: We consider totally non-holonomic sub-Riemannian structures on compact homogeneous spaces and conjecture that, in most cases, the existence of such a structure implies that there is an invariant Riemannian structure. We prove a strengthened version of this conjecture for some important classes of compact homogeneous spaces.
Keywords: invariant distribution, sub-Riemannian structure, homogeneous space.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00465-a
Received: 28.01.2013
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 3, Pages 35–52
DOI: https://doi.org/10.4213/im8098
Bibliographic databases:
Document Type: Article
UDC: 514.765.1+514.752.8
MSC: 53C17, 22F30, 53C30
Language: English
Original paper language: Russian
Citation: V. V. Gorbatsevich, “Sub-Riemannian geometries on compact homogeneous spaces”, Izv. RAN. Ser. Mat., 78:3 (2014), 35–52; Izv. Math., 78:3 (2014), 459–474
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2014v078n03ABEH002694
  • https://www.mathnet.ru/eng/im/v78/i3/p35
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:360
    Russian version PDF:139
    English version PDF:10
    References:64
    First page:34
     
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