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- W3112102584 abstract "The aim of the paper is to prove the following result concerning moduli of curve families in the Heisenberg group. Let $Omega$ be a domain in the Heisenberg group foliated by a family $Gamma$ of legendrian curves. Assume that there is a quadratic differential $q$ on $Omega$ in the kernel of an operator defined in cite{Tim2} and every curve in $Gamma$ is a horizontal trajectory for $q$. Let $l_Gamma : Omega rightarrow ]0,+infty[$ be the function that associates to a point $pin Omega$, the $q$-length of the leaf containing $p$. Then, the modulus of $Gamma$ is [ M_4 (Gamma) = int_Omega frac{|q|^2}{(l_Gamma) ^4} mathrm{d} L^3.]" @default.
- W3112102584 created "2020-12-21" @default.
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- W3112102584 date "2020-12-04" @default.
- W3112102584 modified "2023-09-25" @default.
- W3112102584 title "Moduli of Legendrian foliations and quadratic differentials in the Heisenberg group" @default.
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