2008/06/01 by Christine Guenther, Todd A. Oliynyk
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #hep-th
paper · pdf · doi:10.1007/s11005-008-0245-8
published as Lett.Math.Phys.84:149-157,2008 · May differ slightly from the published version
openalex publication_date 2008/06/01 · arxiv created 2008/10/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove the stability of the torus, and with suitable rescaling, hyperbolic space under the (two-loop) renormalization group flow for the nonlinear sigma model. To prove stability we use similar techniques to \citeGIK02, where the stability of the torus under Ricci flow was first established. The main technical tool is maximal regularity theory.