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- W3183253313 abstract "Geodesic orbit spaces (or g.o. spaces) are defined as those homogeneous Riemannian spaces $$(M=G/H,g)$$ whose geodesics are orbits of one-parameter subgroups of G. The corresponding metric g is called a geodesic orbit metric. We study the geodesic orbit spaces of the form (G/H, g), such that G is one of the compact classical Lie groups $${{,mathrm{SO},}}(n)$$ , $$mathrm{U}(n)$$ , and H is a diagonally embedded product $$H_1times cdots times H_s$$ , where $$H_j$$ is of the same type as G. This class includes spheres, Stiefel manifolds, Grassmann manifolds and real flag manifolds. The present work is a contribution to the study of g.o. spaces (G/H, g) with H semisimple." @default.
- W3183253313 created "2021-08-02" @default.
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- W3183253313 date "2021-07-18" @default.
- W3183253313 modified "2023-10-16" @default.
- W3183253313 title "Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds" @default.
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- W3183253313 doi "https://doi.org/10.1007/s10711-021-00639-6" @default.
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