It has been conjectured that if solutions to the Yamabe PDE on a smooth Riemannian manifold (Mn, g) blow-up at a point p M, then all derivatives of the Weyl tensor Wg of g, of order less than or equal to, vanish at p M. In this paper, we will construct smooth counterexamples to the Weyl Vanishing Conjecture for any n ≥ 25.
|Original language||English (US)|
|Number of pages||21|
|Journal||Calculus of Variations and Partial Differential Equations|
|State||Published - Oct 1 2009|
All Science Journal Classification (ASJC) codes
- Applied Mathematics