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math.DG2019
An existence theorem on the isoperimetric ratio over scalar-flat conformal classes
Xuezhang Chen, Tianling Jin, Yuping Ruan
Let be a smooth compact Riemannian manifold of dimension with smooth boundary , admitting a scalar-flat conformal metric. We prove that the supremum of the…
math.DG2013★ 33 cited
Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three
Tianling Jin, Ali Maalaoui, Luca Martinazzi +1
We study conformal metrics on , i.e., metrics of the form , which have constant -curvature and finite volume. This is equivalent to studying the non-local…