|GEOMETRIC PDE SEMINAR|
|Topic:||A Gluing Construction for Solutions to Fully Nonlinear Equations in Conformal Geometry|
|Affiliation:||Universit`a di Pisa, Italy|
|Date:||Tuesday, April 7|
|Time/Room:||3:30pm - 4:30pm/S-101|
We construct new solutions to the $\sigma_k$-Yamabe problem on compact manifolds by considering the connected sum of two nondegenerate solutions $(M^n_1,g_1)$ and $(M^n_2,g_2)$, for any $2 \leq 2k < n$.