3 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 , $\CP^m$ , $\…
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 , the positive normalized diameters of isometric quotients of simply connected irreducible compact Riemannian symmetric spaces of rank…
math.DG2023
Curvatures of metric Jordan algebras
Hui Zhang, Zaili Yan, Zhiqi Chen
In this paper, we investigate metric Jordan algebras, and follow the lines of the paper (J. Milnor: Curvatures of left invariant metrics on Lie groups. Adv. Math. (1976)). Firstly,…