14 citations · 14 across the 4 of their papers we have counts for
4 papers
Pseudo-Riemannian geodesic orbit nilmanifolds of signature
Zhiqi Chen, Shaoxiang Zhang, Yiyi Zhu
The geodesic orbit property is useful and interesting in Riemannian geometry. It implies homogeneity and has important classes of Riemannian manifolds as special cases, such as wea…
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 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…
Some geometric correspondences for homothetic navigation
Ming Xu, Vladimir Matveev, Ke Yan +1
In this paper, we provide conceptional explanations for the geodesic and Jacobi field correspondences for homothetic navigation, and then let them guide us to the shortcuts to some…