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Ricci Flow and Gromov Almost Flat Manifolds
Eric Chen, Guofang Wei, Rugang Ye
We employ the Ricci flow to derive a new theorem about Gromov almost flat manifolds, which generalizes and strengthens the celebrated Gromov--Ruh Theorem. In our theorem, the condi…
Some aspects of Ricci flow on the 4-sphere
Sun-Yung Alice Chang, Eric Chen
In this paper, on 4-spheres equipped with Riemannian metrics we study some integral conformal invariants, the sign and size of which under Ricci flow characterize the standard 4-sp…
The Yamabe flow on asymptotically flat manifolds
Eric Chen, Yi Wang
We study the Yamabe flow starting from an asymptotically flat manifold . We show that the flow converges to an asymptotically flat, scalar flat metric in a weighted glob…
Convergence of the Ricci flow on asymptotically flat manifolds with integral curvature pinching
Eric Chen
We prove a curvature pinching result for the Ricci flow on asymptotically flat manifolds: if an asymptotically flat manifold of dimension has scale-invariant integral nor…