Mathematical Research Letters

Volume 2 (1995)

Number 3

Smooth cocycles rigidity for lattice actions

Pages: 345 – 357



A. Kononenko (Pennsylvania State University)


We apply the duality method to prove a rigidity theorem for smooth cocycles of actions of higher rank cocompact lattices on a class of homogeneous spaces. In particular, in the split case, we explicitly find all the smooth cocycles of actions of lattices on the imaginary boundaries of symmetric spaces.

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