5 citations · 9 across the 8 of their papers we have counts for
8 papers
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…
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…
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 -metrics. We establish invariance of the torsion under suitabl…
Geodesics Orbiting a Singularity
Daniel Grieser, Jørgen Olsen Lye
We study the behaviour of geodesics on a Riemannian manifold near a generalized conical or cuspidal singularity. We show that geodesics entering a small neighbourhood of the singul…
Geodesics on a K3 Surface near the Orbifold Limit
Jørgen Olsen Lye
This article studies Kummer K3 surfaces close to the orbifold limit. We improve upon estimates for the Calabi-Yau metrics due to R. Kobayashi. As an application, we study stable cl…
A detailed look at the Calabi-Eguchi-Hanson spaces
Jørgen Olsen Lye
This article takes a detailed look at the Ricci-flat metrics introduced by Eguchi-Hanson and Calabi on the canonical line bundle of complex projective space. We give a description…
Convergence of the Yamabe flow on singular spaces with positive Yamabe constant
Gilles Carron, Jørgen Olsen Lye, Boris Vertman
In this work, we study the convergence of the normalized Yamabe flow with positive Yamabe constant on a class of pseudo-manifolds that includes stratified spaces with iterated cone…
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…