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</script>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.
12 pages
Mathematics - Differential Geometry, 53C12, 58C35, 58E30, Differential Geometry (math.DG), FOS: Mathematics
Mathematics - Differential Geometry, 53C12, 58C35, 58E30, Differential Geometry (math.DG), FOS: Mathematics
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