Equigeodesics on flag manifolds

Details Equigeodesics on flag manifolds Equigeodesics on flag manifolds

2009-04-23

arxiv.org/abs/0904.3770v3

Mathematics

Differential Geometry

New section about closed equigeodesics included. Misprints corrected

Scientific paper

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.

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