Volume 15, issue 4 (2011)

Download this article
For screen
For printing
Recent Issues

Volume 17 (2013)
Issue 1 1–620
Issue 2 621–

Volume 16 (2012) 1–4

Volume 15 (2011) 1–4

Volume 14 (2010) 1–5

Volume 13 (2009) 1–5

Volume 12 (2008) 1–5

Volume 11 (2007)

Volume 10 (2006)

Volume 9 (2005)

Volume 8 (2004)

Volume 7 (2003)

Volume 6 (2002)

Volume 5 (2001)

Volume 4 (2000)

Volume 3 (1999)

Volume 2 (1998)

Volume 1 (1997)

G&T Monographs
The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
Subscriptions
Contacts
G&T Publications
GTP Author Index

On the moduli space of positive Ricci curvature metrics on homotopy spheres

David J Wraith

Geometry & Topology 15 (2011) 1983–2015

DOI: 10.2140/gt.2011.15.1983

Bibliography
1 T Aubin, Métriques riemanniennes et courbure, J. Differential Geometry 4 (1970) 383–424 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) 507–517 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) 2047–2076 MR2680210
5 C P Boyer, K Galicki, M Nakamaye, Sasakian geometry, homotopy spheres and positive Ricci curvature, Topology 42 (2003) 981–1002 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) 63–74 MR936805
8 P Ehrlich, Metric deformations of curvature, I: Local convex deformations, Geometriae Dedicata 5 (1976) 1–23 MR0487886
9 N Hitchin, Harmonic spinors, Advances in Math. 14 (1974) 1–55 MR0358873
10 M Joachim, D J Wraith, Exotic spheres and curvature, Bull. Amer. Math. Soc. (N.S.) 45 (2008) 595–616 MR2434347
11 V Kapovitch, A Petrunin, W Tuschmann, Non-negative pinching, moduli spaces and bundles with infinitely many souls, J. Differential Geom. 71 (2005) 365–383 MR2198806
12 M A Kervaire, J W Milnor, Groups of homotopy spheres: I, Ann. of Math. (2) 77 (1963) 504–537 MR0148075
13 M Kreck, S Stolz, Nonconnected moduli spaces of positive sectional curvature metrics, J. Amer. Math. Soc. 6 (1993) 825–850 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 Sn× Sm, J. Differential Geom. 33 (1991) 127–137 MR1085137
17 J Vilms, Totally geodesic maps, J. Differential Geometry 4 (1970) 73–79 MR0262984
18 D J Wraith, Exotic spheres with positive Ricci curvature, J. Differential Geom. 45 (1997) 638–649 MR1472892
19 D J Wraith, Surgery on Ricci positive manifolds, J. Reine Angew. Math. 501 (1998) 99–113 MR1637825
20 D J Wraith, Bundle stabilisation and positive Ricci curvature, Differential Geom. Appl. 25 (2007) 552–560 MR2351430