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arXiv · 1802.07992

Rodin's formula in arbitrary codimension

Malgorzata Ciska-Niedzialomska·Kamil Niedzialomski
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Abstract

We extend the Rodin's formula for $p$--modulus of the family of curves in $\mathbb{R}^n$ to arbitrary codimension. The proof relies on the formula for the $p$--modulus of family of level sets of a submersion and an algebraic lemma relating Jacobi matrices of considered maps. We state appropriate examples.

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Malgorzata Ciska-Niedzialomska, Kamil Niedzialomski. 2018-02-22. Rodin's formula in arbitrary codimension. https://arxiv.org/abs/1802.07992

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