28 citations · 178 across the 43 of their papers we have counts for
4 papers · 1 filter
Spectral geometry on manifolds with fibred boundary metrics I: Low energy resolvent
Daniel Grieser, Mohammad Talebi, Boris Vertman
We study the low energy resolvent of the Hodge Laplacian on a manifold equipped with a fibred boundary metric. We determine the precise asymptotic behavior of the resolvent as a fi…
Long-time existence of Yamabe flow on singular spaces with positive Yamabe constant
Jørgen Olsen Lye, Boris Vertman
In this work we establish long-time existence of the normalized Yamabe flow with positive Yamabe constant on a class of manifolds that includes spaces with incomplete cone-edge sin…
Signatures of Witt spaces with boundary
Paolo Piazza, Boris Vertman
Let M be a compact smoothly stratified pseudomanifold with boundary, satisfying the Witt assumption. In this paper we introduce the de Rham signature and the Hodge signature of M,…
Bounded Ricci Curvature and Positive Scalar Curvature under Singular Ricci de Turck Flow
Klaus Kroencke, Tobias Marxen, Boris Vertman
In this paper we consider a Ricci de Turck flow of spaces with isolated conical singularities, which preserves the conical structure along the flow. We establish that a given initi…