Volume 16, issue 3 (2012)

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Rigidity of certain solvable actions on the sphere

Masayuki Asaoka

Geometry & Topology 16 (2012) 1835–1857
Bibliography
1 E J Benveniste, Rigidity of isometric lattice actions on compact Riemannian manifolds, Geom. Funct. Anal. 10 (2000) 516 MR1779610
2 L Burslem, A Wilkinson, Global rigidity of solvable group actions on $S^1$, Geom. Topol. 8 (2004) 877 MR2087072
3 J Cantwell, L Conlon, An interesting class of $C^1$ foliations, Topology Appl. 126 (2002) 281 MR1934265
4 D Damjanović, A Katok, Local rigidity of partially hyperbolic actions I. KAM method and $\mathbb{Z}^k$ actions on the torus, Ann. of Math. 172 (2010) 1805 MR2726100
5 D Fisher, First cohomology and local rigidity of group actions, to appear in Ann. of Math. (2) arXiv:0505520
6 D Fisher, Local rigidity of group actions: past, present, future, from: "Dynamics, ergodic theory, and geometry" (editor B Hasselblatt), Math. Sci. Res. Inst. Publ. 54, Cambridge Univ. Press (2007) 45 MR2369442
7 D Fisher, G Margulis, Almost isometric actions, property (T), and local rigidity, Invent. Math. 162 (2005) 19 MR2198325
8 D Fisher, G Margulis, Local rigidity of affine actions of higher rank groups and lattices, Ann. of Math. 170 (2009) 67 MR2521112
9 N Guelman, I Liousse, Actions of Baumslag–Solitar groups on surfaces arXiv:1004.2126
10 N Guelman, I Liousse, $C^1$–actions of Baumslag–Solitar groups on $S^ 1$, Algebr. Geom. Topol. 11 (2011) 1701 MR2821437
11 A Katok, B Hasselblatt, Introduction to the modern theory of dynamical systems, Encyclopedia of Mathematics and its Applications 54, Cambridge Univ. Press (1995) MR1326374
12 A Katok, J Lewis, Local rigidity for certain groups of toral automorphisms, Israel J. Math. 75 (1991) 203 MR1164591
13 A Katok, R J Spatzier, Differential rigidity of Anosov actions of higher rank abelian groups and algebraic lattice actions, Tr. Mat. Inst. Steklova 216 (1997) 292 MR1632177
14 A E McCarthy, Rigidity of trivial actions of abelian-by-cyclic groups, Proc. Amer. Math. Soc. 138 (2010) 1395 MR2578531
15 A Navas, Groupes résolubles de difféomorphismes de l'intervalle, du cercle et de la droite, Bull. Braz. Math. Soc. 35 (2004) 13 MR2057043
16 V Niţică, A Török, Local rigidity of certain partially hyperbolic actions of product type, Ergodic Theory Dynam. Systems 21 (2001) 1213 MR1849607
17 C Rivas, On spaces of Conradian group orderings, J. Group Theory 13 (2010) 337 MR2653523
18 A Weil, Remarks on the cohomology of groups, Ann. of Math. 80 (1964) 149 MR0169956
19 R J Zimmer, Lattices in semisimple groups and distal geometric structures, Invent. Math. 80 (1985) 123 MR784532