Directional isoperimetric inequalities and rational homotopy invariants

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We estimate the second order linking invariants of Lipschitz maps from an n-dimensional ellipse. The estimate uses a new directionally-dependent version of the isoperimetric inequality for cycles inside the ellipse. Using this work, we prove new lower bounds for the k-dilation of maps from one ellipse to another.
21 pages, 5 figures

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Differential Geometry, 53C23

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http://salesiana.dossiersoluciones.com/handle/123456789/155568

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.3549
 http://arxiv.org/abs/0802.3549

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arXiv