Isoperimetric inequalities and rational homotopy invariants

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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.
15 pages, 4 figures

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Differential Geometry, 53C23

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http://salesiana.dossiersoluciones.com/handle/123456789/155569

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.3550
 http://arxiv.org/abs/0802.3550

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arXiv