2 papers
math.DG2025
Space of ancient caloric functions on some manifolds beyond volume doubling
Fanghua Lin, Hongbing Qiu, Jun Sun +1
Under a condition that breaks the volume doubling barrier, we obtain a time polynomial structure result on the space of ancient caloric functions with polynomial growth on manifold…
math.DG2023
Curvature estimates of ancient solutions to the mean curvature flow of higher codimension with convex Gauss image
Hongbing Qiu, Y. L. Xin
By carrying out refined curvature estimates, we prove better rigidity theorems of complete noncompact ancient solutions to the mean curvature flow in higher codimension under vario…