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- W2949272050 abstract "We prove that every smooth action of Z^k, k>1, on the (k+1)-dimensional torus homotopic to an action by hyperbolic linear maps preserves an absolutely continuous measure. This is a first known result concerning abelian groups of diffeomorphisms where existence of an invariant geometric structure is obtained from homotopy data." @default.
- W2949272050 created "2019-06-27" @default.
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- W2949272050 date "2006-02-08" @default.
- W2949272050 modified "2023-09-27" @default.
- W2949272050 title "Measure rigidity beyond uniform hyperbolicity: Invariant Measures for Cartan actions on Tori" @default.
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