2008/02/25 by Larry Guth, Guth, Larry · 1 citation
Mathematics · #53C23 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Equations Stability Results #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:53C23
paper · pdf · doi:10.48550/arxiv.0802.3550
15 pages, 4 figures
arxiv created 2008/02/25 · openalex publication_date 2008/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We estimate the linear isoperimetric constants of an n-dimensional ellipse. Using these estimates and a technique of Gromov, we estimate the Hopf and linking invariants of Lipschitz maps from ellipses to round spheres. Using these estimates, we give a lower bound for the k-dilation of degree non-zero maps between ellipses.