Rigidity of group actions on solvable Lie groups

Mathematische Annalen

Volumn 317, Issue 2, 2000, Pages 195-237

  Wilking, Burkhard ^a  

^a UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034418968     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002089900091     Document Type: Article

References (24)

1. L. Auslander, Bieberbach's theorems on space groups and discrete uniform subgroups of solvable Lie groups. II, Amer. J. Math. 83 (1961), 276-280.
2. L. Auslander, Discrete uniform subgroups of solvable Lie groups, Trans. Am. Math. Soc. 99 (1961), 398-402.
3. L. Auslander, The automorphism group of apolycyclic group, Ann. of Math. 89 (1969), 314-322.
4. L. Auslander and F. Johnson, On a conjecture of C.T.C. Wall, J. London Math. Soc. 14 (1976), 331-332.
5. L. Auslander and R. Tolomieri, Splitting theorems and the structure of solvmanifolds, Ann. of Math. 92 (1970), 164-173.
6. Y. Benoist Une nilvariete non affine, J. Differ. Geom., 41 (1995), 21-52.
7. A. Borel, Linear algebraic groups, W. A. Benjamin, Inc., XII (1969).
8. K. Brown Cohomology of groups, Springer (1982).
9. K. Dekimpe, P. Igodt and W. Malfait, There are only finitely many infranilmanifolds under each nilmanifold: a new proof, Indag. Math. (1994), 259-266.
10. K. Dekimpe, Almost-Bieberbach Groups: Affine and Polynomial Structures, (1996) Lect. Not. Math. 1639, Springer-Verlag.
11. K. Dekimpe, Determining the translation part of the fundamental group of an infra-solvmanifold of type (R), Proc. Camb. Phil. Soc., 122 (1997), 515-524.
12. J.H. Eschenburg, Freie isometrische Aktionen auf kompakten Lie-Gruppen mit positiv gekrümmten Orbiträumen, Schriftenr. Math. Inst. Univ. Münster 32 (1984).
13. F.T. Farrell and L.E. Jones, Compact infrasolvmanifolds are smoothly rigid, Walter de Gruyter & Co., Berlin · New York (1997).
14. F. Grunewald and D. Segal, On affine crystallographic groups , J. Differ. Geom., 40 (1994), 563-594.
15. S. Helgason, Differential geometry, Lie groups and Symmetric Spaces, Academic Press (1978).
16. G. Hochschild, The structure of Lie groups, Holden - Day, Inc. IX, (1965).
17. K.B. Lee There are only finitely many infranilmanifolds under each nilmanifold, Q. J. Math. 39 (1988), 61-66.
18. G.D. Mostow, Factor spaces of solvable groups, Ann. of Math. 60 (1951), 1-27.
19. G.D. Mostow, On the fundamental group of a homogeneous space, Ann. of Math. 66 (1957), 249-255.
20. M.S. Raghunathan, Discrete subgroups of Lie groups, Springer (1972).
21. D. Segal, Two Theorems on polycyclic groups, Math. Zeit. 164 (1978), 185-187.
22. D. Segal, Polycyclic groups, Oxford U.P. (1983).
23. W. Tuschmann, Collapsing, solvmanifolds and infrahomogeneous spaces, Differ. Geom. Appl. 7 (1997), 251-264.
24. B. Wilking, On compact Riemannian manifolds with noncompact holonomy groups, preprint (1999), to appear in J. Differ. Geom.