Blow-up phenomena for the Yamabe equation II

math.DG

/ Authors

/ Abstract

Let n be an integer such that 25 \leq n \leq 51. We construct a smooth metric g on S^n with the property that the set of constant scalar curvature metrics in the conformal class of g is not compact.

Blow-up phenomena for the Yamabe equation II

math.DG

/ Authors

S. Brendle, F. C. Marques

/ Abstract

Let n be an integer such that 25 \leq n \leq 51. We construct a smooth metric g on S^n with the property that the set of constant scalar curvature metrics in the conformal class of g is not compact.