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Lobachevskii Journal of Mathematics, 1999, том 3, страницы 19–38
(Mi ljm159)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Сlassification of homogeneous submanifolds in homogeneous spaces
B. M. Doubrov, B. P. Komrakov International Center "Sophus Lie"
Аннотация:
We develop algebraic methods for study of homogeneous submanifolds in homogeneous spaces. This includes the description of stationary subgroups of $k$-jets of homogeneous submanifolds, algebraic version of Cartan's method of the moving frame, description of subalgebras corresponding to symmetry groups of homogeneous submanifolds. We also develop several algebraic techniques for classification of homogeneous submanifolds. As application we present the results of such classifications in low-dimensional affine and projective geometries.
Ключевые слова:
jet space, symmetry algebra, moving frame, affine geometry, projective geometry.
Образец цитирования:
B. M. Doubrov, B. P. Komrakov, “Сlassification of homogeneous submanifolds in homogeneous spaces”, Lobachevskii J. Math., 3 (1999), 19–38
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/ljm159 https://www.mathnet.ru/rus/ljm/v3/p19
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Страница аннотации: | 293 | PDF полного текста: | 194 |
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