24 citations · 94 across the 24 of their papers we have counts for
4 papers · 1 filter
Gaussian measures on the of space of Riemannian metrics
Brian Clarke, Dmitry Jakobson, Niky Kamran +3
We introduce Gaussian-type measures on the manifold of all metrics with a fixed volume form on a compact Riemannian manifold of dimension . For this random model we compute…
Conformal invariants from nodal sets. I. Negative Eigenvalues and Curvature Prescription
Yaiza Canzani, Rod Gover, Dmitry Jakobson +1
In this paper, we study conformal invariants that arise from nodal sets and negative eigenvalues of conformally covariant operators; more specifically, the GJMS operators, which in…
Nullspaces of Conformally Invariant Operators. Applications to -curvature
Yaiza Canzani, A. Rod Gover, Dmitry Jakobson +1
We study conformal invariants that arise from functions in the nullspace of conformally covariant differential operators. The invariants include nodal sets and the topology of noda…
Scalar curvature and -curvature of random metrics
Yaiza Canzani, Dmitry Jakobson, Igor Wigman
We study Gauss curvature for random Riemannian metrics on a compact surface, lying in a fixed conformal class; our questions are motivated by comparison geometry. Next, analogous q…