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EQUIGEODESICS ON GENERALIZED FLAG MANIFOLDS WITH G_2-TYPE t-ROOTS

Statha, Marina 大阪大学 DOI:10.18910/77235

2020.10

概要

We study homogeneous curves in generalized flag manifolds G/K with G_2-type t-roots, which are geodesics with respect to each G-invariant metric on G/K. These curves are called equigeodesics. The tangent space of such flag manifolds splits into six isotropy summands, which are in one-to-one correspondence with t-roots. Also, these spaces are a generalization of the exceptional full flag manifold G_2/T. We give a characterization for structural equigeodesics for flag manifolds with G_2-type t-roots, and we give for each such flag manifold, a list of subspaces in which the vectors are structural equigeodesic vectors.

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参考文献

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