Jørgen Olsen Lye

collaborators

3 papers

math.DG2025

Winding and focussing for geodesics passing a thin cuspidal neck

Daniel Grieser, Jørgen Olsen Lye

We study geodesics on a family $(M_{ε})$ of manifolds that have a thin neck, which degenerate to a space with an incomplete cuspidal singularity as $ε \to 0$ . There…

math.DG2024

Generalized Yamabe Flows

Jørgen Olsen Lye, Boris Vertman, Mannaim Gennaro Vitti

In this work we introduce a family of conformal flows generalizing the classical Yamabe flow. We prove that for a large class of such flows long-time existence holds, and the argum…

math.DG2024

Analytic torsion for fibred boundary metrics and conic degeneration

Jørgen Olsen Lye, Boris Vertman

We study the renormalized analytic torsion of complete manifolds with fibred boundary metrics, also referred to as $ϕ$ -metrics. We establish invariance of the torsion under suitabl…