Zhi-Qi Chen

activity

20172026

most citedCompact geodesic orbit spaces with a simple isotropy group

9 citations · 9 across the 7 of their papers we have counts for

collaborators

9 papers

math.DG2026

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 $S^{n}$ $(n \geq 2)$ , $\CP^m$ $(m \geq 1)$ , $\…

math.DG2026

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…

math.DG2026

Pseudo-Riemannian geodesic orbit nilmanifolds of signature $(n - 3, 3)$

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…

math.DG2026

A diameter gap for irreducible compact symmetric spaces of fixed rank

Zhiqi Chen, Shaoqiang Deng, Hui Zhang

We prove that, for every positive integer $r$ , the positive normalized diameters of isometric quotients of simply connected irreducible compact Riemannian symmetric spaces of rank…

math.DG2023

Pseudo-Riemannian geodesic orbit nilmanifolds of signature $(n - 2, 2)$

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…

math.RA2023

The moment map for the variety of Leibniz algebras

Zhiqi Chen, Saiyu Wang, Hui Zhang

We consider the moment map $m : P V_{n} \to i u (n)$ for the action of $GL (n)$ on $V_{n} = \otimes^{2} (C^{n})^{*} \otimes C^{n}$ , and…

math.RA2023

The $ω$ -Lie algebra defined by the commutator of an $ω$ -left-symmetric algebra is not perfect

Zhiqi Chen, Junna Ni, Jianhua Yu

In this paper, we study admissible $ω$ -left-symmetric algebraic structures on $ω$ -Lie algebras over the complex numbers field $C$ . Based on the classification of $ω$ -Lie al…

math.DG2020★ 9 cited

Compact geodesic orbit spaces with a simple isotropy group

Z. Chen, Y. Nikolayevsky, Yu. Nikonorov

Let $M = G / H$ be a compact, simply connected, Riemannian homogeneous space, where $G$ is (almost) effective and $H$ is a simple Lie group. In this paper, we first classify all $G$ -na…

math.DG2017

Non-naturally reductive Einstein metrics on $SO (n)$

Huibin Chen, Zhiqi Chen, Shaoqiang Deng

In this article, we prove that every compact simple Lie group $S O (n)$ for $n \geq 10$ admits at least $2 ([\frac{n - 1}{3}] - 2)$ non-naturally reductive left-invariant Einste…

Infinitely many closed geodesic images on simply connected compact rank-one symmetric spaces

Positive sectional curvature on a family of exotic fifteen-sphere

Pseudo-Riemannian geodesic orbit nilmanifolds of signature (n−3,3)

A diameter gap for irreducible compact symmetric spaces of fixed rank

Pseudo-Riemannian geodesic orbit nilmanifolds of signature (n−2,2)

The moment map for the variety of Leibniz algebras

The ω-Lie algebra defined by the commutator of an ω-left-symmetric algebra is not perfect

Compact geodesic orbit spaces with a simple isotropy group

Non-naturally reductive Einstein metrics on SO(n)

Pseudo-Riemannian geodesic orbit nilmanifolds of signature $(n - 3, 3)$

Pseudo-Riemannian geodesic orbit nilmanifolds of signature $(n - 2, 2)$

The $ω$ -Lie algebra defined by the commutator of an $ω$ -left-symmetric algebra is not perfect

Non-naturally reductive Einstein metrics on $SO (n)$