Geometry of curves in generalized flag varieties |
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| Authors: | Boris Doubrov Igor Zelenko |
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| Affiliation: | 1. Belarusian State University, Nezavisimosti Ave. 4, Minsk, 220030, Belarus
2. Department of Mathematics, Texas A&M University, College Station, TX, 77843-3368, USA
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| Abstract: | The current paper is devoted to the study of integral curves of constant type in generalized flag varieties. We construct a canonical moving frame bundle for such curves and give a criterion when it turns out to be a Cartan connection. Generalizations to parametrized curves, to higher-dimensional submanifolds and to parabolic geometries are discussed. |
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