Volume 15, issue 2 (2011)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 27
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Topological obstructions to fatness

Luis A Florit and Wolfgang Ziller

Geometry & Topology 15 (2011) 891–925
Bibliography
1 L Bérard-Bergery, Sur certaines fibrations d'espaces homogènes riemanniens, Compositio Math. 30 (1975) 43 MR0370432
2 A L Besse, Einstein manifolds, Ergebnisse der Math. und ihrer Grenzgebiete (3) 10, Springer (1987) MR867684
3 A Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. $(2)$ 57 (1953) 115 MR0051508
4 L M Chaves, A theorem of finiteness for fat bundles, Topology 33 (1994) 493 MR1286927
5 A Derdziński, A Rigas, Unflat connections in $3$–sphere bundles over $S^{4}$, Trans. Amer. Math. Soc. 265 (1981) 485 MR610960
6 M Feshbach, The image of $H^{*} (BG, \mathbf{Z})$ in $H^{*} (BT, \mathbf{Z})$ for $G$ a compact Lie group with maximal torus $T$, Topology 20 (1981) 93 MR592571
7 L A Florit, W Ziller, Orbifold fibrations of Eschenburg spaces, Geom. Dedicata 127 (2007) 159 MR2338524
8 W Fulton, J Harris, Representation theory: A first course, Graduate Texts in Math. 129, Springer (1991) MR1153249
9 D Gromoll, G Walschap, Metric foliations and curvature, Progress in Math. 268, Birkhäuser Verlag (2009) MR2500106
10 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
11 M Kerin, Some new examples with almost positive curvature, Geom. Topol. 15 (2011) 217
12 I G Macdonald, Symmetric functions and Hall polynomials, Oxford Math. Monogr., The Clarendon Press, Oxford Univ. Press (1979) MR553598
13 M Mimura, H Toda, Topology of Lie groups. I, II, Transl. of Math. Monogr. 91, Amer. Math. Soc. (1991) MR1122592
14 J D Moore, Submanifolds of constant positive curvature. I, Duke Math. J. 44 (1977) 449 MR0438256
15 G F Paechter, The groups $\pi _{r}(V_{n, m})$. I, Quart. J. Math. Oxford Ser. $(2)$ 7 (1956) 249 MR0131878
16 N Shimada, Differentiable structures on the $15$–sphere and Pontrjagin classes of certain manifolds, Nagoya Math. J. 12 (1957) 59 MR0096223
17 K Tapp, Quasi-positive curvature on homogeneous bundles, J. Differential Geom. 65 (2003) 273 MR2058263
18 G Warner, Harmonic analysis on semi-simple Lie groups. I, Die Grund. der math. Wissenschaften 188, Springer (1972) MR0498999
19 A Weinstein, Fat bundles and symplectic manifolds, Adv. in Math. 37 (1980) 239 MR591728
20 B Wilking, Manifolds with positive sectional curvature almost everywhere, Invent. Math. 148 (2002) 117 MR1892845
21 W Ziller, Fatness revisited, Lecture notes, University of Pennsylvania (2001)
22 W Ziller, Examples of Riemannian manifolds with non-negative sectional curvature, from: "Surveys in differential geometry. Vol. XI" (editors J Cheeger, K Grove), Surv. Differ. Geom. 11, Int. Press, Somerville, MA (2007) 63 MR2408264