1 citations · 1 across the 5 of their papers we have counts for
Showing math.DGShow all
2 papers · 1 filter
math.DG2024★ 1 cited
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),…
math.DG2023
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…