TY - JOUR
T1 - Global rigidity for totally nonsymplectic Anosov ℤk actions
AU - Kalinin, Boris
AU - Sadovskaya, Victoria
PY - 2006/7/24
Y1 - 2006/7/24
N2 - We consider a totally nonsymplectic (TNS) Anosov action of ℤk which is either uniformly quasiconformal or pinched on each coarse Lyapunov distribution. We show that such an action on a torus is C ∞-conjugate to an action by affine automorphisms. We also obtain similar global rigidity results for actions on an arbitrary compact manifold assuming that the coarse yapunov foliations are topologically jointly integrable.
AB - We consider a totally nonsymplectic (TNS) Anosov action of ℤk which is either uniformly quasiconformal or pinched on each coarse Lyapunov distribution. We show that such an action on a torus is C ∞-conjugate to an action by affine automorphisms. We also obtain similar global rigidity results for actions on an arbitrary compact manifold assuming that the coarse yapunov foliations are topologically jointly integrable.
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U2 - 10.2140/gt.2006.10.929
DO - 10.2140/gt.2006.10.929
M3 - Article
AN - SCOPUS:33746436253
SN - 1364-0380
VL - 10
SP - 929
EP - 954
JO - Geometry and Topology
JF - Geometry and Topology
ER -