Isoperimetric inequalities in the Heisenberg group and in the plane
نویسنده
چکیده
We formulate the isoperimetric problem for the class of C2 smooth cylindrically symmetric surfaces in the Heisenberg group in terms of Legendrian foliations. The known results for the sub-Riemannian isoperimetric problem yield a new isoperimetric inequality in the plane: For any strictly convex, C2 loop γ ∈ R2, bounding a planar region ω, we have
منابع مشابه
From Grushin to Heisenberg via an isoperimetric problem
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