Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11030937 | Journal of Geometry and Physics | 2018 | 22 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Carolyn S. Gordon, YuriÄ G. Nikonorov,