2 papers
math.DG2025
Winding and focussing for geodesics passing a thin cuspidal neck
Daniel Grieser, Jørgen Olsen Lye
We study geodesics on a family of manifolds that have a thin neck, which degenerate to a space with an incomplete cuspidal singularity as . There…
math.DG2025
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…