Equigeodesics on Generalized Flag Manifolds with Five Isotropy Summands
摘要
In this article, we study homogeneous curves on generalized flag manifolds G/H with five isotropy summands, which are geodesics with respect to any G-invariant metric on G/H. These curves are called equigeodesics. And we give examples of structural equigeodesics on generalized flag manifolds of the exceptional Lie groups