1 citations · 1 across the 5 of their papers we have counts for
5 papers
On the Jacobian of the Douady-Earle extension
Chris Connell, Yuping Ruan, Shi Wang
Given an isotopy class between two closed hyperbolic surfaces, the Douady--Earle extension provides a unique analytic diffeomorphism representative. In this paper we investigate th…
Homological dimension of discrete subgroups in higher rank simple Lie groups
Chris Connell, D. B. McReynolds, Shi Wang
We investigate the homological dimensions of discrete subgroups of non-compact simple Lie groups using a flow recently introduced by the authors. Using new estimates on the critica…
Volume entropy and rigidity for RCD-spaces
Chris Connell, Xianzhe Dai, Jesús Núñez-Zimbrón +3
We develop the barycenter technique of Besson--Courtois--Gallot so that it can be applied on RCD metric measure spaces. Given a continuous map from a non-collapsed RCD$(-(N-1),…
Simplicial volume and isolated, closed totally geodesic submanifolds of codimension one
Chris Connell, Yuping Ruan, Shi Wang
We show that for any closed Riemannian manifold with dimension at least two and with nonpositive curvature, if it admits an isolated, closed totally geodesic submanifold of codimen…
Nonpositively curved -manifolds with zero Euler characteristic
Chris Connell, Yuping Ruan, Shi Wang
We show that for any closed nonpositively curved Riemannian 4-manifold with vanishing Euler characteristic, the Ricci curvature must degenerate somewhere. Moreover, for each po…