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Local Rigidity of Teichmüller space with Thurston metric
Published 24 May 2020 in math.GT, math.CV, and math.DG | (2005.11762v3)
Abstract: We show that every $\mathbb R$-linear surjective isometry between the cotangent spaces to the Teichm\"uller space equipped with the Thurston norm is induced by some isometry between the underlying hyperbolic surfaces, which is an analogue of Royden's theorem concerning the Teichm\"uller metric.
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