Geometry & Topology Volume 27, issue 1 (2023)

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Isometry groups with radical, and aspherical Riemannian manifolds with large symmetry, I

Oliver Baues and Yoshinobu Kamishima

Geometry & Topology 27 (2023) 1–50

DOI: 10.2140/gt.2023.27.1

Bibliography

1	O Baues, Infra-solvmanifolds and rigidity of subgroups in solvable linear algebraic groups, Topology 43 (2004) 903 MR2061212
2	A Borel, Compact Clifford–Klein forms of symmetric spaces, Topology 2 (1963) 111 MR146301
3	N Bourbaki, Lie groups and Lie algebras, Chapters 7–9, Springer (2005) MR2109105
4	G E Bredon, Introduction to compact transformation groups, 46, Academic (1972) MR0413144
5	K S Brown, Cohomology of groups, 87, Springer (1982) MR672956
6	P E Conner, F Raymond, Actions of compact Lie groups on aspherical manifolds, from: "Topology of manifolds" (editors J C Cantrell, C H Edwards Jr.), Markham (1970) 227 MR0271958
7	M W Davis, The geometry and topology of Coxeter groups, 32, Princeton Univ. Press (2008) MR2360474
8	B Farb, S Weinberger, Isometries, rigidity and universal covers, Ann. of Math. 168 (2008) 915 MR2456886
9	H Geiges, Normal contact structures on 3–manifolds, Tohoku Math. J. 49 (1997) 415 MR1464186
10	M Gotô, Faithful representations of Lie groups, II, Nagoya Math. J. 1 (1950) 91 MR38981
11	M J Greenberg, J R Harper, Algebraic topology: a first course, 58, Benjamin Cummings (1981) MR643101
12	W c Hsiang, J L Shaneson, Fake tori, from: "Topology of manifolds" (editors J C Cantrell, C H Edwards Jr.), Markham (1970) 18 MR0281211
13	S Illman, Existence and uniqueness of equivariant triangulations of smooth proper G–manifolds with some applications to equivariant Whitehead torsion, J. Reine Angew. Math. 524 (2000) 129 MR1770606
14	N Jacobson, Lie algebras, 10, Interscience (1962) MR0143793
15	J L Koszul, Lectures on groups of transformations, 32, Tata Institute of Fundamental Research (1965) MR0218485
16	R S Kulkarni, F Raymond, 3–Dimensional Lorentz space-forms and Seifert fiber spaces, J. Differential Geom. 21 (1985) 231 MR816671
17	K B Lee, F Raymond, Seifert fiberings, 166, Amer. Math. Soc. (2010) MR2731766
18	J J Millson, On the first Betti number of a constant negatively curved manifold, Ann. of Math. 104 (1976) 235 MR422501
19	J Milnor, On fundamental groups of complete affinely flat manifolds, Advances in Math. 25 (1977) 178 MR454886
20	G D Mostow, Arithmetic subgroups of groups with radical, Ann. of Math. 93 (1971) 409 MR289713
21	G D Mostow, Strong rigidity of locally symmetric spaces, 78, Princeton Univ. Press (1973) MR0385004
22	S B Myers, N E Steenrod, The group of isometries of a Riemannian manifold, Ann. of Math. 40 (1939) 400 MR1503467
23	R S Palais, On the existence of slices for actions of non-compact Lie groups, Ann. of Math. 73 (1961) 295 MR126506
24	M S Raghunathan, Discrete subgroups of Lie groups, 68, Springer (1972) MR0507234
25	D Segal, Polycyclic groups, 82, Cambridge Univ. Press (1983) MR713786
26	A N Starkov, A counterexample to a theorem on lattices in Lie groups, Vestnik Moskov. Univ. Ser. I Mat. Mekh. (1984) 68 MR764036
27	W Tuschmann, Collapsing, solvmanifolds and infrahomogeneous spaces, Differential Geom. Appl. 7 (1997) 251 MR1480538
28	E B Vinberg, V V Gorbatsevich, O V Shvartsman, Discrete subgroups of Lie groups, from: "Lie groups and Lie algebras, II : Discrete subgroups of Lie groups and cohomologies of Lie groups and Lie algebras" (editor E B Vinberg), Encyclopaedia Math. Sci. 21, Springer (2000) 1 MR1756407
29	C T C Wall, Surgery on compact manifolds, 69, Amer. Math. Soc. (1999) MR1687388
30	B Wilking, Rigidity of group actions on solvable Lie groups, Math. Ann. 317 (2000) 195 MR1764235