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Distribution rigidity for unipotent actions on homogeneous spaces
Author(s):
Marina
Ratner
Journal:
Bull. Amer. Math. Soc.
24
(1991),
321-325.
MSC (1985):
Primary 22E40
MathSciNet review:
1069988
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References:
- [GE] P. Greenleaf and W. R. Emerson, Group structure and pointwise ergodic theorem for connected amenable groups, Adv. in Math. 14 (1974), 153-172. MR 384997
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- [DM] S. G. Dani and G. A. Margulis, Orbit closures of generic unipotent flows on homogeneous spaces of SL(3, R), Math. Ann. 286 (1990), 101-128.. MR 1032925
- [F1] H. Furstenberg, Strict ergodicity and transformations of the torus, Amer. J. Math. 83 (1961), 573-601. MR 133429
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- [OW] D. Ornstein and B. Weiss, Entropy and isomorphism theorems for actions of amenable groups, J. Analyse Math. 48 (1987), 1-140. MR 910005
- [P] W. Parry, Ergodic properties of affine transformations and flows on nilmanifolds, Amer. J. Math. 91 (1969), 757-771. MR 260975
- [R1] M. Ratner, Strict measure rigidity for unipotent subgroups of solvable groups, Invent. Math. 101 (1990), 449-482. MR 1062971
- [R2] M. Ratner, On measure rigidity of unipotent subgroups of semisimple groups, Acta Math, (to appear). MR 1075042
- [R3] M. Ratner, On Raghunathan's measure conjecture, Ann. of Math, (to appear).
- [R4] M. Ratner, Horocycle flows: joinings and rigidity of products, Ann. of Math. (2) 118 (1983), 277-313. MR 717825
- [W] D. Witte, Rigidity of some translations on homogeneous spaces, Invent. Math. 81 (1985), 1-27. MR 796188
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Additional Information:
DOI:
10.1090/S0273-0979-1991-16022-2
PII:
S 0273-0979(1991)16022-2
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