9 citations · 9 across the 7 of their papers we have counts for
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Infinitely many closed geodesic images on simply connected compact rank-one symmetric spaces
Zhiqi Chen, Shaoqiang Deng, Hui Zhang
We prove that every smooth Riemannian metric on the underlying smooth manifold of a simply connected compact rank-one symmetric space, namely , $\CP^m$ , $\…
Positive sectional curvature on a family of exotic fifteen-sphere
Zhiqi Chen, Shaoqiang Deng, Hui Zhang
We construct metrics of strictly positive sectional curvature on at least 508 pairwise nondiffeomorphic exotic fifteen-spheres, without prescribing orientations. The construction b…
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…
A diameter gap for irreducible compact symmetric spaces of fixed rank
Zhiqi Chen, Shaoqiang Deng, Hui Zhang
We prove that, for every positive integer , the positive normalized diameters of isometric quotients of simply connected irreducible compact Riemannian symmetric spaces of rank…
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…
Compact geodesic orbit spaces with a simple isotropy group
Z. Chen, Y. Nikolayevsky, Yu. Nikonorov
Let be a compact, simply connected, Riemannian homogeneous space, where is (almost) effective and is a simple Lie group. In this paper, we first classify all -na…
Non-naturally reductive Einstein metrics on
Huibin Chen, Zhiqi Chen, Shaoqiang Deng
In this article, we prove that every compact simple Lie group for admits at least non-naturally reductive left-invariant Einste…