Geometry of curves in parabolic homogeneous spaces

Details Geometry of curves in parabolic homogeneous spaces Geometry of curves in parabolic homogeneous spaces

2011-10-02

arxiv.org/abs/1110.0226v1

Mathematics

Differential Geometry

20 pages

Scientific paper

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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