2011•arXiv (Cornell University)Open access
Geometry of curves in parabolic homogeneous spaces
Boris Doubrov, Igor Zelenko
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Abstract
The current paper is devoted to the study of integral curves of constant type in parabolic homogeneous spaces. We construct a canonical moving frame bundle for such curves and give the criterium when it turns out to be a Cartan connection. Generalizations to parametrized curves, to higher-dimensional submanifolds and to general parabolic geometries are discussed.
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