Variation of the modulus of a foliation

Malgorzata Ciska

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arXiv · 1205.6786

Variation of the modulus of a foliation

Malgorzata Ciska

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Abstract

The $p$--modulus ${\rm mod}_p(\mathcal{F})$ of a foliation $\mathcal{F}$ on a Riemannian manifold $M$ is a generalization of extremal length of plane curves introduced by L. Ahlfors. We study the variation $t\mapsto{\rm mod}_p(\mathcal{F}_t)$ of the modulus. In particular, we consider product of moduli of orthogonal foliations.

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Malgorzata Ciska. 2012-05-30. Variation of the modulus of a foliation. https://arxiv.org/abs/1205.6786

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