3 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.DG2024
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…
math.DG2024
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…