13 citations · 32 across the 13 of their papers we have counts for
6 papers · 1 filter
The natural flow and the critical exponent
Chris Connell, D. B. McReynolds, Shi Wang
Inspired by work of Besson-Courtois-Gallot, we construct a flow called the natural flow on a non-positively curved Riemannian manifold . As with the natural map, the -Jacobia…
Cusps, Kleinian groups and Eisenstein series
Beibei Liu, Shi Wang
We study the Eisenstein series associated to the full rank cusps in a complete hyperbolic manifold. We show that given a Kleinian group , each full…
Discrete subgroups of small critical exponent
Beibei Liu, Shi Wang
We prove that finitely generated higher dimensional Kleinian groups with small critical exponent are always convex-cocompact. Along the way, we also prove some geometric properties…
Positivity of Simplicial Volume for Nonpositively Curved Manifolds with a Ricci-type curvature condition
Chris Connell, Shi Wang
We show that closed manifolds supporting a nonpositively curved metric with negative -Ricci curvature, have positive simplicial volume. This answers a special ca…
On splitting rank of non-compact type symmetric spaces and bounded cohomology
Shi Wang
Let be a higher rank symmetric space of non-compact type, where is the connected component of the isometry group of . We define the splitting rank of , denoted by…
Barycentric straightening and bounded cohomology
Jean-François Lafont, Shi Wang
We study the barycentric straightening of simplices in irreducible symmetric spaces of non-compact type. We show that, for an n-dimensional symmetric space of rank r>1, the p-Jacob…