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math.DG2026
Analysis on fibred cusp spaces
Daniel Grieser, Ãlvaro Sánchez-Hernández, Boris Vertman
We give a survey of analytic and geometric results on `fibred cusp spaces', a large class of non-compact Riemannian manifolds which include the regular parts of singular spaces wit…
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…