Geometry & Topology

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

David J Wraith

Full-text: Open access

Abstract

We show that the moduli space of Ricci positive metrics on a certain family of homotopy spheres has infinitely many components.

Article information

Source
Geom. Topol., Volume 15, Number 4 (2011), 1983-2015.

Dates
Received: 4 February 2011
Revised: 7 February 2011
Accepted: 14 September 2011
First available in Project Euclid: 20 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.gt/1513732359

Digital Object Identifier
doi:10.2140/gt.2011.15.1983

Mathematical Reviews number (MathSciNet)
MR2860985

Zentralblatt MATH identifier
1234.53011

Subjects
Primary: 53C20: Global Riemannian geometry, including pinching [See also 31C12, 58B20]

Keywords
positive Ricci curvature moduli space homotopy sphere

Citation

Wraith, David J. On the moduli space of positive Ricci curvature metrics on homotopy spheres. Geom. Topol. 15 (2011), no. 4, 1983--2015. doi:10.2140/gt.2011.15.1983. https://projecteuclid.org/euclid.gt/1513732359


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