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

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

2010-10-20

arxiv.org/abs/1010.4246v2

Mathematics

Differential Geometry

Scientific paper

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

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