Tamaru, H. Riemannian geodesic orbit metrics on fiber bundles. (English) Zbl 1055.53503 Algebras Groups Geom. 15, No. 1, 55-67 (1998). From the text: A Riemannian homogeneous space \(M\) is said to be a Riemannian geodesic orbit space if every geodesic in \(M\) is an orbit of a one-parameter subgroup of the isometry group. Here it is proved that any invariant metric on the homogeneous spaces \(\text{SO}(9)/G_2\times\text{SO}(2)\), \(\text{SO}(10)/\text{Spin}(7)\times\text{SO}(2)\) and \(\text{SO}(11)/\text{Spin}(7)\times\text{SO}(3)\) are geodesic orbit spaces. Cited in 15 Documents MSC: 53C30 Differential geometry of homogeneous manifolds 53C22 Geodesics in global differential geometry PDFBibTeX XMLCite \textit{H. Tamaru}, Algebras Groups Geom. 15, No. 1, 55--67 (1998; Zbl 1055.53503)