Isoperimetric inequalities and rational homotopy invariants

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dc.creatorGuth, Larry
dc.date2008-02-25
dc.date.accessioned2026-07-07T09:22:58Z
dc.date.available2026-07-07T09:22:58Z
dc.descriptionWe 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.
dc.description15 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0802.3550
dc.identifierhttp://arxiv.org/abs/0802.3550
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155569
dc.subjectDifferential Geometry
dc.subject53C23
dc.titleIsoperimetric inequalities and rational homotopy invariants
dc.typetext

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