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The rigidity of pseudo-rotations on the two-torus and a question of Norton-Sullivan

Wang, J; Zhang, ZY

Wang, J (reprint author), Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China.; Wang, J (reprint author), IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil.

GEOMETRIC AND FUNCTIONAL ANALYSIS, 2018; 28 (5): 1487

Abstract

We show that under certain boundedness condition, a C-r conservative irrational pseudo-rotations on T-2 with a generic rotation vector is Cr-1-rigid. ......

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