12 citations · 59 across the 29 of their papers we have counts for
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An Adjoint Criterion for Left-Invariant -Modified Conformal Vector Fields on Even-Dimensional Lie Groups
Zhigang Li, Shaoqiang Deng, Hui Zhang
For a fixed positive real constant , a real Lie algebra of even dimension admits a nonzero left-invariant -modified conformal vector field for some nondegenerate metric…
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…
Positive sectional curvature and non-isometric circle actions on a family of eleven-spheres
Shaoqiang Deng, Zhiguang Hu, Hui Zhang
We study the construction of positively curved Riemannian metrics by non-isometric circle actions. For a family of homotopy eleven-spheres whose Eells--Kuiper invariants form the e…
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…