4 papers · 1 filter
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…
A rigidity theorem of ancient solutions to the mean curvature flow in codimension one
Qun Chen, Hongbing Qiu
By carrying out a point-wise estimate for the second fundamental form, we prove a rigidity theorem of complete noncompact ancient solutions to the mean curvature flow in codimensio…
Liouville theorems for ancient solutions to the V-harmonic map heat flows II
Qun Chen, Hongbing Qiu
When the domain is a complete noncompact Riemannian manifold with nonnegative Bakry--Emery Ricci curvature and the target is a complete Riemannian manifold with sectional curvature…
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…