Geodesic Orbit Riemannian Structures on $\mathbf{R}^n$
Differential Geometry
2019-02-08 v2
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 . Along the way, we establish various structural properties of more general geodesic orbit manifolds.
Cite
@article{arxiv.1803.01023,
title = {Geodesic Orbit Riemannian Structures on $\mathbf{R}^n$},
author = {Carolyn S. Gordon and Yuriĭ G. Nikonorov},
journal= {arXiv preprint arXiv:1803.01023},
year = {2019}
}
Comments
12 pages