Abstract
In this paper we investigate the boundary behavior of finitely bi-Lipschitz homeomorphisms between Finsler manifolds. Our study involves the module technique and classes of mappings whose moduli of the curve/surface families are integrally controlled from above and below. The Lusin (N)-property with respect to the k-dimensional Hausdorff measure for the finitely bi-Lipschitz mappings is also established.
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