Equigeodesics on full, G₂ and a rank-three condition on flag manifolds
classification
🧮 math.DG
keywords
flagfullmanifoldsapplicationscharacterizationconditiondiscussequigeodesics
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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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