Article ID Journal Published Year Pages File Type
11030937 Journal of Geometry and Physics 2018 22 Pages PDF
Abstract
A geodesic orbit manifold is a complete Riemannian manifold all of whose geodesics are orbits of one-parameter groups of isometries. We give both a geometric and an algebraic characterization of geodesic orbit manifolds that are diffeomorphic to Rn. Along the way, we establish various structural properties of more general geodesic orbit manifolds.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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