Journal of Differential Geometry

CONFORMALLY FLAT METRICS ON 4-MANIFOLDS

Michael Kapovich

Abstract

We prove that for each closed smooth spin 4-manifold M there exists a closed smooth 4-manifold N such that M#N admits a conformally flat Riemannian metric.

Article information

Source
J. Differential Geom., Volume 66, Number 2 (2004), 289-301.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1102538612

Digital Object Identifier
doi:10.4310/jdg/1102538612

Mathematical Reviews number (MathSciNet)
MR2106126

Zentralblatt MATH identifier
1071.53029

Citation

Kapovich, Michael. CONFORMALLY FLAT METRICS ON 4-MANIFOLDS. J. Differential Geom. 66 (2004), no. 2, 289--301. doi:10.4310/jdg/1102538612. https://projecteuclid.org/euclid.jdg/1102538612


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