We address the quantitative stability of minimizing Yamabe metrics. On any closed Riemannian manifold we show—in a quantitative sense—that if a function nearly minimizes the Yamabe energy, then the corresponding conformal metric is close to a CSC metric. Generically, this closeness is controlled quadratically by the Yamabe energy deficit. However, we construct an example demonstrating that this quadratic estimate is false in the general. This is joint work with Max Engelstein and Luca Spolaor.
http://cvgmt.sns.it/seminar/779/
When | Tue Feb 23, 2021 1:30pm – 2:30pm Coordinated Universal Time |
Where | Zoom Seminar (map) |