11 citations · 35 across the 6 of their papers we have counts for
6 papers
A negative mass theorem for surfaces of positive genus
Kate Okikiolu
We define the "sum of squares of the wavelengths" of a Riemannian surface (M,g) to be the regularized trace of the inverse of the Laplacian. We normalize by scaling and adding a co…
A negative mass theorem for the 2-Torus
Kate Okikiolu
For a closed surface M with metric g, the Robin mass m(p) at the point p is the value of the Green function G(p,q) at p=q after the logarithmic singularity has been removed. The La…
Extremals for Logarithmic Hardy-Littlewood-Sobolev inequalities on compact manifolds
Kate Okikiolu
For a closed connected surface with a metric g, we consider the regularized trace of the inverse of the Laplace-Beltrami operator. We minimize this on the class of smooth metrics c…
Hessian of the zeta function for the Laplacian on forms
Kate Okikiolu, Caitlin Wang
Let M be a compact closed n-dimensional manifold. Given a Riemannian metric on M, we consider the zeta function Z(s) for the de Rham Laplacian and the Bochner Laplacian on p-forms.…
Hessians of Spectral Zeta Functions
Kate Okikiolu
Let M be a compact manifold without boundary. Associated to a metric g on M there are various Laplace operators, for example the de Rham Laplacian on forms and the conformal Laplac…
Critical metrics for the determinant of the Laplacian in odd dimensions
K. Okikiolu
Let M be a closed compact n-dimensional manifold with n odd. We calculate the first and second variations of the zeta-regularized determinants det^\primeΛand det L as the metric on…