Equigeodesics on flag manifolds
Differential Geometry
2009-07-13 v3
Abstract
This paper provides a characterization of homogeneous curves on a geometric flag manifold which are geodesic with respect to any invariant metric. We call such curves homogeneous equigeodesics. We also characterize homogeneous equigeodesics whose associated Killing field is closed, hence, the corresponding geodesics is closed.
Keywords
Cite
@article{arxiv.0904.3770,
title = {Equigeodesics on flag manifolds},
author = {Nir Cohen and Lino Grama and Caio J. C. Negreiros},
journal= {arXiv preprint arXiv:0904.3770},
year = {2009}
}
Comments
New section about closed equigeodesics included. Misprints corrected