Volume 15, issue 4 (2011)

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

Volume 28
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

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 Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
On the moduli space of positive Ricci curvature metrics on homotopy spheres

David J Wraith

Geometry & Topology 15 (2011) 1983–2015
Bibliography
1 T Aubin, Métriques riemanniennes et courbure, J. Differential Geometry 4 (1970) 383 MR0279731
2 A L Besse, Einstein manifolds, Ergebnisse der Math. und ihrer Grenzgebiete (3) 10, Springer (1987) MR867684
3 B Botvinnik, P B Gilkey, The eta invariant and metrics of positive scalar curvature, Math. Ann. 302 (1995) 507 MR1339924
4 B Botvinnik, B Hanke, T Schick, M Walsh, Homotopy groups of the moduli space of metrics of positive scalar curvature, Geom. Topol. 14 (2010) 2047 MR2680210
5 C P Boyer, K Galicki, M Nakamaye, Sasakian geometry, homotopy spheres and positive Ricci curvature, Topology 42 (2003) 981 MR1978045
6 W Browder, Surgery on simply-connected manifolds, Ergebnisse der Math. und ihrer Grenzgebiete 65, Springer (1972) MR0358813
7 R Carr, Construction of manifolds of positive scalar curvature, Trans. Amer. Math. Soc. 307 (1988) 63 MR936805
8 P Ehrlich, Metric deformations of curvature, I: Local convex deformations, Geometriae Dedicata 5 (1976) 1 MR0487886
9 N Hitchin, Harmonic spinors, Advances in Math. 14 (1974) 1 MR0358873
10 M Joachim, D J Wraith, Exotic spheres and curvature, Bull. Amer. Math. Soc. (N.S.) 45 (2008) 595 MR2434347
11 V Kapovitch, A Petrunin, W Tuschmann, Non-negative pinching, moduli spaces and bundles with infinitely many souls, J. Differential Geom. 71 (2005) 365 MR2198806
12 M A Kervaire, J W Milnor, Groups of homotopy spheres: I, Ann. of Math. $(2)$ 77 (1963) 504 MR0148075
13 M Kreck, S Stolz, Nonconnected moduli spaces of positive sectional curvature metrics, J. Amer. Math. Soc. 6 (1993) 825 MR1205446
14 H B Lawson Jr., M L Michelsohn, Spin geometry, Princeton Math. Series 38, Princeton Univ. Press (1989) MR1031992
15 A Ranicki, Algebraic and geometric surgery, Oxford Math. Monogr., Oxford Science Publ., The Clarendon Press, Oxford Univ. Press (2002) MR2061749
16 J P Sha, D Yang, Positive Ricci curvature on the connected sums of $S^n\times S^m$, J. Differential Geom. 33 (1991) 127 MR1085137
17 J Vilms, Totally geodesic maps, J. Differential Geometry 4 (1970) 73 MR0262984
18 D J Wraith, Exotic spheres with positive Ricci curvature, J. Differential Geom. 45 (1997) 638 MR1472892
19 D J Wraith, Surgery on Ricci positive manifolds, J. Reine Angew. Math. 501 (1998) 99 MR1637825
20 D J Wraith, Bundle stabilisation and positive Ricci curvature, Differential Geom. Appl. 25 (2007) 552 MR2351430