3 papers
math.DG2021
On the ADM mass of Kähler scalar flat ALE metrics
Claudio Arezzo, Karen Corrales
In this paper we study the behaviour of scalar flat Kähler ALE spaces and their ADM mass under blow ups. In particular we prove that by blowing up sufficiently many points at suffi…
math.DG2018
Existence of CMC-foliations in asymptotically cuspidal manifolds
Claudio Arezzo, Karen Corrales
In this paper we prove existence and uniqueness of a CMC foliation in asymptotically cuspidal manifolds. Moreover, we study the isoperimetric problem in this case. Our proof does n…
math.DG2016
Non existence of Type II singularities for embedded and unknotted space curves
Karen Corrales
In this paper we prove that a certain class of embedded unknotted curves in evolving under curve shortening flow do not form singularities Type II before collapsing…