English

Equigeodesics on full, $G_2$ and a rank-three condition on flag manifolds

Differential Geometry 2011-04-19 v2

Abstract

This paper provides a characterization and examples of homogeneous geodesics on full G/TG/T and G2G_{2} flag manifolds. We discuss for generalized root systems the property of sum-zero triple of TT-roots and give several applications of this result.

Keywords

Cite

@article{arxiv.1010.4246,
  title  = {Equigeodesics on full, $G_2$ and a rank-three condition on flag manifolds},
  author = {Lino Grama and Caio J. C. Negreiros and Neiton P. Silva},
  journal= {arXiv preprint arXiv:1010.4246},
  year   = {2011}
}