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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
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.
Received: 07.09.2012 and 17.04.2013
Citation:
V. V. Gorbatsevich, “Invariant distributions on compact homogeneous spaces”, Mat. Sb., 204:12 (2013), 15–30; Sb. Math., 204:12 (2013), 1712–1727
Linking options:
https://www.mathnet.ru/eng/sm8174https://doi.org/10.1070/SM2013v204n12ABEH004357 https://www.mathnet.ru/eng/sm/v204/i12/p15
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Abstract page: | 532 | Russian version PDF: | 202 | English version PDF: | 20 | References: | 78 | First page: | 45 |
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