128 citations · 429 across the 36 of their papers we have counts for
39 papers · 1 filter
Collapsing constant scalar curvature metrics
Jeff Viaclovsky, Xiaokang Wang
We prove that a sequence of constant scalar curvature (CSC) metrics which is collapsing with bounded curvature to a manifold can be perturbed to a sequence of $\ma…
Conformally prescribed scalar curvature on orbifolds
Tao Ju, Jeff Viaclovsky
We study the prescribed scalar curvature problem in a conformal class on orbifolds with isolated singularities. We prove a compactness theorem in dimension , and an existence th…
Torelli-type theorems for gravitational instantons with quadratic volume growth
Gao Chen, Jeff Viaclovsky, Ruobing Zhang
We prove Torelli-type uniqueness theorems for both ALG gravitational instantons and ALG gravitational instantons which are of order . That is, the periods uniquely character…
Gravitational instantons with quadratic volume growth
Gao Chen, Jeff Viaclovsky
There are two known classes of gravitational instantons with quadratic volume growth at infinity, known as type ALG and ALG. Gravitational instantons of type ALG were previousl…
Hodge theory on ALG manifolds
Gao Chen, Jeff Viaclovsky, Ruobing Zhang
We develop a Fredholm Theory for the Hodge Laplacian in weighted spaces on ALG manifolds in dimension four. We then give several applications of this theory. First, we show the…
Collapsing Ricci-flat metrics on elliptic K3 surfaces
Gao Chen, Jeff Viaclovsky, Ruobing Zhang
For any elliptic K3 surface , we construct a family of collapsing Ricci-flat Kähler metrics such that curvatures are uniformly b…