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math.DG2018
Ancient solutions to the Ricci flow in higher dimensions
Xiaolong Li, Yongjia Zhang
In this paper, we study -noncollapsed ancient solutions to the Ricci flow with nonnegative curvature operator in higher dimensions. We impose one further assumption: one of the…
math.DG2018
Parabolic frequency monotonicity on compact manifolds
Xiaolong Li, Kui Wang
This work is devoted to the study of parabolic frequency for solutions of the heat equation on Riemannian manifolds. We show that the parabolic frequency functional is almost incre…