A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is
We prove trivialization of the first cohomology with coefficients in smooth vector fields, for a class of Z 2 parabolic actions on (SL(2, R) × SL(2, R))/Γ, where the lattice Γ is irreducible and co-compact. We also obtain a splitting construction involving first and second coboundary operators in the cohomology with coefficients in smooth vector fields. 2010 Mathematics Subject Classification. Primary: 37A20; Secondary: 37A15.doi:10.3934/dcds.2014.34.5211 fatcat:2ya5y44pyng2pamrlh3xsrn24q