7 citations · 17 across the 7 of their papers we have counts for
9 papers
On the proportionality of Chern and Riemannian scalar curvatures
Michael G. Dabkowski, Michael T. Lock
On a Kahler manifold there is a clear connection between the complex geometry and underlying Riemannian geometry. In some ways, this can be used to characterize the Kahler conditio…
The lowest eigenvalue of Schrödinger operators on compact manifolds
Michael G. Dabkowski, Michael T. Lock
The lowest eigenvalue of the Schrödinger operator on a compact Riemannian manifold without boundary is studied. We focus on the particularly subtle case of a sign…
An equivalence of scalar curvatures on Hermitian manifolds
Michael G. Dabkowski, Michael T. Lock
For a Kahler metric, the Riemannian scalar curvature is equal to twice the Chern scalar curvature. The question we address here is whether this equivalence can hold for a non-Kah…
Quotient singularities, eta invariants, and self-dual metrics
Michael T. Lock, Jeff A. Viaclovsky
There are three main components to this article: (i) A formula for the eta invariant of the signature complex for any finite subgroup of acting freely on is gi…
A smörgåsbord of scalar-flat Kähler ALE surfaces
Michael T. Lock, Jeff A. Viaclovsky
There are many known examples of scalar-flat Kähler ALE surfaces, all of which have group at infinity either cyclic or contained in . The main result in this paper sh…
On Kähler conformal compactifications of -invariant ALE spaces
Michael G. Dabkowski, Michael T. Lock
We prove that a certain class of ALE spaces always has a Kahler conformal compactification, and moreover provide explicit formulas for the conformal factor and the Kahler potential…