54 citations · 112 across the 45 of their papers we have counts for
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Pseudo-Riemannian geodesic orbit nilmanifolds of signature
Zhiqi Chen, Yuri Nikolayevsky, Joseph A. Wolf +1
The geodesic orbit property is useful and interesting in itself, and it plays a key role in Riemannian geometry. It implies homogeneity and has important classes of Riemannian mani…
On the Homogeneity Conjecture
Joseph A. Wolf
Consider a connected homogeneous Riemannian manifold and a Riemannian covering . If is homogeneous then every $…
Families of Geodesic Orbit Spaces and Related Pseudo-Riemannian Manifolds
Joseph A. Wolf
Two homogeneous pseudo-riemannian manifolds and belong to the same {\it real form family} if their complexifications $(G_{\mathbb C}/H_{\mathbb C}, d…
The Structure of Geodesic Orbit Lorentz Nilmanifolds
Yuri Nikolayevsky, Joseph A. Wolf
The geodesic orbit property is useful and interesting in Riemannian geometry. It implies homogeneity and has important classes of Riemannian manifolds as special cases. Those class…
On the Geometric Orbit Property for Lorentz Manifolds
Zhiqi Chen, Joseph A. Wolf, Shaoxiang Zhang
The geodesic orbit property has been studied intensively for Riemannian manifolds. Geodesic orbit spaces are homogeneous and allow simplifications of many structural questions usin…
Local and Global Homogeneity for Three Obstinate Spheres
Joseph A. Wolf
In this note we complete a study of globally homogeneous Riemannian quotients in positive curvature. Specifically, is a homogeneous space that admi…