Shi-type estimates of the Ricci flow based on Ricci curvature
Shi-type estimates of the Ricci flow based on Ricci curvature
We prove that the magnitude of the derivative of Ricci curvature can be uniformly controlled by the bounds of Ricci curvature and injectivity radius along the Ricci flow.As a consequence, a precise uniform local bound of curvature operator can be constructed from local bounds of Ricci curvature and injectivity radius …