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GEOMETRY OF CURVES IN PARABOLIC HOMOGENEOUS SPACES

GEOMETRY OF CURVES IN PARABOLIC HOMOGENEOUS SPACES

The current paper is devoted to the study of integral curves of constant type in parabolic homogeneous spaces. We con- struct a canonical moving frame bundle for such curves and give the criterium when it turns out to be a Cartan connection. Generaliza- tions to parametrized curves, to higher-dimensional submanifolds …