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Geodesic orbit spaces are those Riemannian homogeneous spaces (G/H,g) whose geodesics are orbits of one-parameter subgroups of G. We classify the simply connected geodesic orbit spaces where G is a… Click to show full abstract
Geodesic orbit spaces are those Riemannian homogeneous spaces (G/H,g) whose geodesics are orbits of one-parameter subgroups of G. We classify the simply connected geodesic orbit spaces where G is a compact Lie group of rank two. We prove that the only such spaces for which the metric g is not induced from a bi-invariant metric on G are certain spheres and projective spaces, endowed with metrics induced from Hopf fibrations.
Keywords:
spaces compact;
compact lie;
orbit spaces;
rank two;
geodesic orbit
Journal Title: Geometriae Dedicata
Year Published: 2022
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Journal Title: Geometriae Dedicata
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!