Lixin Liu, Wen Yang
Abstract
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It is proved that a bijection between the interiors of two pairs of pants is an isometry if it and its inverse preserve geodesics as subsets.
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It is proved that a bijection between the interiors of two pairs of pants is an isometry if it and its inverse preserve geodesics as subsets.
Key concepts: Bijection, Geodesic, Isometry (Riemannian geometry), Mathematics, Inverse, Pure mathematics, Combinatorics, Mathematical analysis