Geometry of curves in generalized flag varieties Academic Article uri icon

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. 2013 Springer Science+Business Media New York.

published proceedings

  • Transformation Groups

author list (cited authors)

  • Doubrov, B., & Zelenko, I.

citation count

  • 8

complete list of authors

  • Doubrov, Boris||Zelenko, Igor

publication date

  • June 2013