Geometry of curves in generalized flag varieties Academic Article

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.

authors

• Zelenko, Igor

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

publisher

• Springer Nature  Publisher

published in

• Transformation Groups  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1007/s00031-013-9217-x

start page

• 361

end page

• 383

volume

• 18

issue

• 2

URL

• http://dx.doi.org/10.1007/s00031-013-9217-x