Geodesic
Twisted cocycles and rigidity problems
Electronic research announcements of the American Mathematical Society, Tome 01 (1995) no. 1, pp. 26-34.

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We consider a class of cohomologies associated to a group action, outline a duality method for their calculation, and apply it to study different questions related to the group action. In particular, we prove a number of results on infinitesimal and cohomological rigidity of higher rank cocompact lattice actions on imaginary boundaries of some symmetric spaces (as well as results on cohomologies of some partially hyperbolic actions and lattice actions on a broader class of homogeneous spaces). We also obtain a very transparent proof of local $C^3$ rigidity of projective actions of cocompact lattices in $PSL(2,\Bbb {R})$. Similar Articles Retrieve articles in Electronic Research Announcements of the American Mathematical Society with MSC (1991): 58 Retrieve articles in all journals with MSC (1991): 58 Additional Information A. KononenkoEmail: avk@math.psu.edu Received by editor(s): February 8, 1995 Received by editor(s) in revised form: March 8, 1995 Communicated by: Svetlana Katok Article copyright: © Copyright 1995 American Mathematical Society 
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Kononenko, A. Twisted cocycles and rigidity problems. Electronic research announcements of the American Mathematical Society, Tome 01 (1995) no. 1, pp. 26-34. doi : 10.1090/S1079-6762-95-01004-3. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-95-01004-3/

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