12 citations · 13 across the 15 of their papers we have counts for
5 papers · 1 filter
Groups that (do not) act isometrically on hyperbolic spaces
Yanlong Hao
In this paper, we show that if a group acts isometrically on a good hyperbolic space of finite volume entropy through a non-elementary action, then it admits an affine action on so…
The homotopy fixed point sets of spheres actions on rational complexes
Yanlong Hao, Xiugui Liu, Qianwen Sun
In this paper, we describe the homotopy type of the homotopy fixed point sets of -actions on rational spheres and complex projective spaces, and provide some properties of $S^…
On the rational homotopical nilpotency index of principal bundles
Yanlong Hao, Xiugui Liu
Let denote the space of all self-fibre homotopy equivalences of a principal -bundle of simply connected CW complexes with finite. When …
Two-stage spaces and the torus rank conjecture
Yanlong Hao, Xiugui Liu, Qianwen Sun
In this note, we give some new families of two-stage spaces for which the torus rank conjecture is affirmed.
Marked length pattern rigidity for arithmetic manifolds
Yanlong Hao
In this paper, we prove a cocycle version of marked length spectrum rigidity. There are two consequences. The first is marked length pattern rigidity for arithmetic hyperbolic loca…