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Sbornik: Mathematics, 2013, Volume 204, Issue 12, Pages 1712–1727
DOI: https://doi.org/10.1070/SM2013v204n12ABEH004357 (Mi sm8174) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Invariant distributions on compact homogeneous spaces

V. V. Gorbatsevich

Moscow State Aviation Technological University, Moscow
English version PDF (434 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2013v204n12ABEH004357
Abstract: In this paper, we study distributions on compact homogeneous spaces, including invariant distributions and also distributions admitting a sub-Riemannian structure. We first consider distributions of dimension 1 and 2 on compact homogeneous spaces. After this, we study the cases of compact homogeneous spaces of dimension 2, 3, and 4 in detail. Invariant distributions on simply connected compact homogeneous spaces are also treated.
Bibliography: 18 titles.
Keywords: homogeneous space, distribution, sub-Riemannian structure, holonomicity.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00465a
Received: 07.09.2012 and 17.04.2013
Russian version:
Matematicheskii Sbornik, 2013, Volume 204, Number 12, Pages 15–30
DOI: https://doi.org/10.4213/sm8174
Bibliographic databases:
Document Type: Article
UDC: 514.765.1+514.752.8
MSC: Primary 53C30; Secondary 53C17, 58A17, 57A30
Language: English
Original paper language: Russian
Citation: V. V. Gorbatsevich, “Invariant distributions on compact homogeneous spaces”, Mat. Sb., 204:12 (2013), 15–30; Sb. Math., 204:12 (2013), 1712–1727
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:78
    First page:45
     
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