Blow-up phenomena for the Yamabe equation

Details Blow-up phenomena for the Yamabe equation Blow-up phenomena for the Yamabe equation

2009-05-23

arxiv.org/abs/0905.3840v1

J. Amer. Math. Soc. 21, 951-979 (2008)

Mathematics

Differential Geometry

Published paper

Scientific paper

Let (M,g) be a compact Riemannian manifold of dimension n \geq 3. The
Compactness Conjecture asserts that the set of constant scalar curvature
metrics in the conformal class of g is compact unless (M,g) is conformally
equivalent to the round sphere. In this paper, we construct counterexamples to
this conjecture in dimensions n \geq 52.

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