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arXiv · 1205.3010

Transversality of isotropic projections, unrectifiability and Heisenberg groups

Risto Hovila
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Abstract

We show that the family of $m$-dimensional isotropic projections in $\R^{2n}$ is transversal. As an application we show that the Besicovitch-Federer projection theorem holds for isotropic projections. We also use transversality to obtain almost sure estimates on the Hausdorff dimension of isotropic projections of subsets $E \subset \R^{2n}$. These results may also be applied to gain information on the horizontal projections of the Heisenberg group $\H^n$.

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Risto Hovila. 2012-05-14. Transversality of isotropic projections, unrectifiability and Heisenberg groups. https://arxiv.org/abs/1205.3010

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