13 citations · 32 across the 13 of their papers we have counts for
6 papers · 1 filter
Actions on CAT(-1) spaces with critical exponent less than 1
Beibei Liu, Shi Wang
We show that for a discrete isometry subgroup acting on a proper CAT(-1) space X, if the critical exponent is less than , then the critical exponent equals the Hausdorff dimensi…
Marked length spectrum rigidity for relatively hyperbolic groups
Thang Nguyen, Shi Wang
We consider a coarse version of the marked length spectrum rigidity: given a group with two left invariant metrics, if the marked length spectrum (the translation length function)…
An -norm-mass inequality for complete manifolds
Caterina Campagnolo, Shi Wang
We generalize an inequality of Besson-Courtois-Gallot about volume and simplicial volume of closed manifolds to the -norm of all the homology classes of complete manifolds.…
Geometric cycles and bounded cohomology for a cocompact lattice in
Shi Wang
We show there exists a closed locally symmetric manifold modeled on , and a non-trivial homology class in degree represented by a totall…
Homological norms on nonpositively curved manifolds
Chris Connell, Shi Wang
We relate the Gromov norm on homology classes to the harmonic norm on the dual cohomology and obtain double sided bounds in terms of the volume and other geometric quantities of th…
Some remarks on the simplicial volume of nonpositively curved manifolds
Chris Connell, Shi Wang
We show that any closed manifold with a metric of nonpositive curvature that admits either a single point rank condition or a single point curvature condition has positive simplici…