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math.DG2011
On the Perelman's reduced entropy and Ricci flat manifolds with maximal volume growth
Liang Cheng, Anqiang Zhu
In this paper, we study the Ricci flat manifolds with maximal volume growth using Perelman's reduced volume of Ricci flow. We show that if is an noncompact complete Ricci…
math.DG2011
Yamabe flow and ADM Mass on asymptotically flat manifolds
Liang Cheng, Anqiang Zhu
In this paper, we investigate the behavior of ADM mass and Einstein-Hilbert functional under the Yamabe flow. Through studying the Yamabe flow by weighted spaces, we show that ADM…
math.DG2011
Curvature tensor under the Ricci-Harmonic flow
Anqiang Zhu, Liang Cheng
We prove that if the Ricci curvature is uniformly bounded under the Ricci-Harmonic flow for all times \in[0, T), then the curvature tensor has to be uniformly bounded as well.