13 citations · 17 across the 6 of their papers we have counts for
4 papers · 1 filter
Bach Flow on Homogeneous Products
Dylan Helliwell
Qualitative behavior of Bach flow is established on compact four-dimensional locally homogeneous product manifolds. This is achieved by lifting to the homogeneous universal cover a…
Uniqueness for Some Higher-Order Geometric Flows
Eric Bahuaud, Dylan Helliwell
We show that solutions to certain higher-order intrinsic geometric flows on a compact manifold, including some flows generated by the ambient obstruction tensor, are unique. With t…
Short-time existence for some higher-order geometric flows
Eric Bahuaud, Dylan Helliwell
We establish short-time existence and regularity for higher-order flows generated by a class of polynomial natural tensors that, after an adjustment by the Lie derivative of the me…
Boundary Regularity for Conformally Compact Einstein Metrics in Even Dimensions
Dylan Helliwell
We study boundary regularity for conformally compact Einstein metrics in even dimensions by generalizing the ideas of Michael Anderson. Our method of approach is to view the vanish…